WorldCat Identities

Griffiths, Phillip 1938-

Works: 130 works in 511 publications in 3 languages and 14,902 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Contributor
Classifications: QA564, 516.35
Publication Timeline
Most widely held works by Phillip Griffiths
Principles of algebraic geometry by Phillip Griffiths( Book )

42 editions published between 1976 and 2014 in English and held by 897 WorldCat member libraries worldwide

A comprehensive, self-contained treatment presenting general results of the theory. Establishes a geometric intuition and a working facility with specific geometric practices. Emphasizes applications through the study of interesting examples and the development of computational tools. Coverage ranges from analytic to geometric. Treats basic techniques and results of complex manifold theory, focusing on results applicable to projective varieties, and includes discussion of the theory of Riemann surfaces and algebraic curves, algebraic surfaces and the quadric line complex as well as special topics in complex manifolds
Infinite abelian group theory by Phillip Griffiths( Book )

14 editions published in 1970 in English and Undetermined and held by 507 WorldCat member libraries worldwide

Rational homotopy theory and differential forms by Phillip Griffiths( Book )

36 editions published between 1981 and 2013 in 3 languages and held by 483 WorldCat member libraries worldwide

Rational homotopy theory is today one of the major trends in algebraic topology. Despite the great progress made in only a few years, a textbook properly devoted to this subject still was lacking until now The appearance of the text in book form is highly welcome, since it will satisfy the need of many interested people. Moreover, it contains an approach and point of view that do not appear explicitly in the current literature. Zentralblatt MATH (Review of First Edition) The monograph is intended as an introduction to the theory of minimal models. Anyone who wishes to learn about the theory will find this book a very helpful and enlightening one. There are plenty of examples, illustrations, diagrams and exercises. The material is developed with patience and clarity. Efforts are made to avoid generalities and technicalities that may distract the reader or obscure the main theme. The theory and its power are elegantly presented. This is an excellent monograph. Bulletin of the American Mathematical Society (Review of First Edition) This completely revised and corrected version of the well-known Florence notes circulated by the authors together with E. Friedlander examines basic topology, emphasizing homotopy theory. Included is a discussion of Postnikov towers and rational homotopy theory. This is then followed by an in-depth look at differential forms and de Thams theorem on simplical complexes. In addition, Sullivans results on computing the rational homotopy type from forms is presented. -- [Source inconnue]
Entire holomorphic mappings in one and several complex variables by Phillip Griffiths( Book )

16 editions published between 1975 and 1976 in English and held by 475 WorldCat member libraries worldwide

Introduction to algebraic curves by Phillip Griffiths( Book )

25 editions published between 1989 and 1999 in English and held by 457 WorldCat member libraries worldwide

Topics in algebraic and analytic geometry; notes from a course of Phillip Griffiths by Phillip Griffiths( Book )

19 editions published between 1974 and 2015 in English and Undetermined and held by 456 WorldCat member libraries worldwide

Exterior differential systems and the calculus of variations by Phillip Griffiths( Book )

21 editions published between 1982 and 1986 in 3 languages and held by 447 WorldCat member libraries worldwide

15 0. PRELIMINARIES a) Notations from Manifold Theory b) The Language of Jet Manifolds c) Frame Manifolds d) Differentia! Ideals e) Exterior Differential Systems EULER-LAGRANGE EQUATIONS FOR DIFFERENTIAL SYSTEMS ~liTH ONE I. 32 INDEPENDENT VARIABLE a) Setting up the Problem; Classical Examples b) Variational Equations for Integral Manifolds of Differential Systems c) Differential Systems in Good Form; the Derived Flag, Cauchy Characteristics, and Prolongation of Exterior Differential Systems d) Derivation of the Euler-Lagrange Equations; Examples e) The Euler-Lagrange Differential System; Non-Degenerate Variational Problems; Examples FIRST INTEGRALS OF THE EULER-LAGRANGE SYSTEM; NOETHER'S II. 1D7 THEOREM AND EXAMPLES a) First Integrals and Noether's Theorem; Some Classical Examples; Variational Problems Algebraically Integrable by Quadratures b) Investigation of the Euler-Lagrange System for Some Differential-Geometric Variational Pro~lems: 2 i) (K ds for Plane Curves; i i) Affine Arclength; 2 iii) f K ds for Space Curves; and iv) Delauney Problem. II I. EULER EQUATIONS FOR VARIATIONAL PROBLEfiJS IN HOMOGENEOUS SPACES 161 a) Derivation of the Equations: i) Motivation; i i) Review of the Classical Case; iii) the Genera 1 Euler Equations 2 K /2 ds b) Examples: i) the Euler Equations Associated to f for lEn; but for Curves in i i) Some Problems as in i) sn; Non- Curves in iii) Euler Equations Associated to degenerate Ruled Surfaces IV
Topics in transcendental algebraic geometry( Book )

17 editions published between 1983 and 2016 in English and Undetermined and held by 432 WorldCat member libraries worldwide

The book description for the forthcoming "Topics in Transcendental Algebraic Geometry. (AM-106)" is not yet available
Mathematical sciences, technology, and economic competitiveness by James Glimm( Book )

9 editions published between 1991 and 1992 in English and Chinese and held by 424 WorldCat member libraries worldwide

This book describes the contributions of mathematics to the nation's advanced technology and to economic competitiveness. Examples from five industries--aircraft, petroleum, automotive, semiconductor, and telecommunications--illustrate how mathematics enters into and improves industry. Mathematical Sciences, Technology, and Economic Competitiveness addresses these high-technology industries and breadth of mathematical endeavors in the United States as they materially contribute to the technology base from which innovation in these industries flows. The book represents a serious attempt by the mathematics community to bring about an awareness by policymakers of the pervasive influence of mathematics in everyday life
Differential systems and isometric embeddings by Phillip Griffiths( Book )

21 editions published between 1986 and 2016 in English and Russian and held by 415 WorldCat member libraries worldwide

The theory of exterior differential systems provides a framework for systematically addressing the typically non-linear, and frequently overdetermined, partial differential equations that arise in differential geometry. Adaptation of the techniques of microlocalization to differential systems have led to recent activity on the foundations of the theory; in particular, the fundamental role of the characteristic variety in geometric problems is now clearly established. In this book the general theory is explained in a relatively quick and concrete manner, and then this general theory is applied to the recent developments in the classical problem of isometric embeddings of Riemannian manifolds
On the tangent space to the space of algebraic cycles on a smooth algebraic variety by M Green( Book )

11 editions published between 2004 and 2005 in English and held by 323 WorldCat member libraries worldwide

In recent years, considerable progress has been made in studying algebraic cycles using infinitesimal methods. These methods have usually been applied to Hodge-theoretic constructions such as the cycle class and the Abel-Jacobi map. Substantial advances have also occurred in the infinitesimal theory for subvarieties of a given smooth variety, centered around the normal bundle and the obstructions coming from the normal bundle's first cohomology group. Here, Mark Green and Phillip Griffiths set forth the initial stages of an infinitesimal theory for algebraic cycles. The book aims in part to understand the geometric basis and the limitations of Spencer Bloch's beautiful formula for the tangent space to Chow groups. Bloch's formula is motivated by algebraic K-theory and involves differentials over Q. The theory developed here is characterized by the appearance of arithmetic considerations even in the local infinitesimal theory of algebraic cycles. The map from the tangent space to the Hilbert scheme to the tangent space to algebraic cycles passes through a variant of an interesting construction in commutative algebra due to Angéniol and Lejeune-Jalabert. The link between the theory given here and Bloch's formula arises from an interpretation of the Cousin flasque resolution of differentials over Q as the tangent sequence to the Gersten resolution in algebraic K-theory. The case of 0-cycles on a surface is used for illustrative purposes to avoid undue technical complications
An introduction to the theory of special divisors on algebraic curves by Phillip Griffiths( Book )

15 editions published in 1980 in English and held by 323 WorldCat member libraries worldwide

In May, 1979, an NSF Regional Conference was held at the University of Georgia in Athens. The topic of the conference was "Special divisors on algebraic curves, ". This monograph gives an exposition of the elementary aspects of the theory of special divisors together with an explanation of some more advanced results that are not too technical. As such, it is intended to be an introduction to recent sources. As with most subjects, one may approach the theory of special divisors from several points of view. The one adopted here pertains to Clifford's theorem, and may be informally stated as follo
Exterior differential systems and Euler-Lagrange partial differential equations by Robert L Bryant( Book )

7 editions published in 2003 in English and held by 257 WorldCat member libraries worldwide

In Exterior Differential Systems, the authors present the results of their ongoing development of a theory of the geometry of differential equations, focusing especially on Lagrangians and Poincare-Cartan forms. They also cover certain aspects of the theory of exterior differential systems, which provides the language and techniques for the entire study. Because it plays a central role in uncovering geometric properties of differential equations, the method of equivalence is particularly emphasized. In addition, the authors discuss conformally invariant systems at length, including results on the classification and application of symmetries and conservation laws. The book also covers the Second Variation, Euler-Lagrange PDE systems, and higher-order conservation laws
Mumford-Tate groups and domains : their geometry and arithmetic by M Green( Book )

20 editions published in 2012 in English and held by 243 WorldCat member libraries worldwide

Mumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry. This book is the first comprehensive exploration of Mumford-Tate groups and domains
Hodge theory, complex geometry, and representation theory by M Green( Book )

11 editions published in 2013 in English and Undetermined and held by 207 WorldCat member libraries worldwide

This monograph presents topics in Hodge theory and representation theory, two of the most active and important areas in contemporary mathematics. The underlying theme is the use of complex geometry to understand the two subjects and their relationships to one another-an approach that is complementary to what is in the literature. Finite-dimensional representation theory and complex geometry enter via the concept of Hodge representations and Hodge domains. Infinite-dimensional representation theory, specifically the discrete series and their limits, enters through the realization of these repre
Inspired by S.S. Chern : a memorial volume in honor of a great mathematician by Phillip Griffiths( Book )

13 editions published in 2006 in English and Undetermined and held by 134 WorldCat member libraries worldwide

Shiing-Shen Chern (1911-2004) was one of the leading differential geometers of the twentieth century. In 1946, he founded the Mathematical Institute of Academia Sinica in Shanghai, which was later moved to Nanking. In 1981, he founded the Mathematical Sciences Research Institute (MSRI) at Berkeley and acted as the director until 1984. In 1985, he founded the Nankai Institute of Mathematics in Tianjin. He was awarded the National Medal of Science in 1975; the Wolf Prize in mathematics in 1984; and the Shaw Prize in mathematical sciences in 2004. Chern's works span all the classic fields of diff
Hodge theory by Dũng Tráng Lê( Book )

5 editions published in 2014 in English and held by 130 WorldCat member libraries worldwide

This book provides a comprehensive and up-to-date introduction to Hodge theory—one of the central and most vibrant areas of contemporary mathematics—from leading specialists on the subject. The topics range from the basic topology of algebraic varieties to the study of variations of mixed Hodge structure and the Hodge theory of maps. Of particular interest is the study of algebraic cycles, including the Hodge and Bloch-Beilinson Conjectures. Based on lectures delivered at the 2010 Summer School on Hodge Theory at the ICTP in Trieste, Italy, the book is intended for a broad group of students and researchers. The exposition is as accessible as possible and doesn’t require a deep background. At the same time, the book presents some topics at the forefront of current research.The book is divided between introductory and advanced lectures. The introductory lectures address Kähler manifolds, variations of Hodge structure, mixed Hodge structures, the Hodge theory of maps, period domains and period mappings, algebraic cycles (up to and including the Bloch-Beilinson conjecture) and Chow groups, sheaf cohomology, and a new treatment of Grothendieck’s algebraic de Rham theorem. The advanced lectures address a Hodge-theoretic perspective on Shimura varieties, the spread philosophy in the study of algebraic cycles, absolute Hodge classes (including a new, self-contained proof of Deligne’s theorem on absolute Hodge cycles), and variation of mixed Hodge structures.The contributors include Patrick Brosnan, James Carlson, Eduardo Cattani, François Charles, Mark Andrea de Cataldo, Fouad El Zein, Mark L. Green, Phillip A. Griffiths, Matt Kerr, Lê D?ng Tráng, Luca Migliorini, Jacob P. Murre, Christian Schnell, and Loring W. Tu
Geometry of algebraic curves by E Arbarello( Book )

21 editions published in 2011 in English and held by 91 WorldCat member libraries worldwide

The second volume of the Geometry of Algebraic Curves is devoted to the foundations of the theory of moduli of algebraic curves. Its authors are research mathematicians who have actively participated in the development of the Geometry of Algebraic Curves. The subject is an extremely fertile and active one, both within the mathematical community and at the interface with the theoretical physics community. The approach is unique in its blending of algebro-geometric, complex analytic and topological/combinatorial methods. It treats important topics such as Teichmüller theory, the cellular decomposition of moduli and its consequences and the Witten conjecture. The careful and comprehensive presentation of the material will be of value to students who wish to learn the subject and to experts as a reference source. The first volume appeared 1985 as volume 267 of the same series
Chairing the mathematical sciences department of the 1990s : proceedings of a colloquium, October 27-28, 1989, Arlington, Virginia( Book )

3 editions published in 1990 in English and held by 5 WorldCat member libraries worldwide

Topics in algebraic and analytic geometry. (mn-13) : notes from a course of phillip griffiths by John Adams( Book )

4 editions published between 2015 and 2016 in English and held by 3 WorldCat member libraries worldwide

This volume offers a systematic treatment of certain basic parts of algebraic geometry, presented from the analytic and algebraic points of view. The notes focus on comparison theorems between the algebraic, analytic, and continuous categories. Contents include: 1.1 sheaf theory, ringed spaces; 1.2 local structure of analytic and algebraic sets; 1.3 Pn 2.1 sheaves of modules; 2.2 vector bundles; 2.3 sheaf cohomology and computations on Pn; 3.1 maximum principle and Schwarz lemma on analytic spaces; 3.2 Siegel's theorem; 3.3 Chow's theorem; 4.1 GAGA; 5.1 line bundles, divisors, and maps to Pn; 5.2 Grassmanians and vector bundles; 5.3 Chern classes and curvature; 5.4 analytic cocycles; 6.1 K-theory and Bott periodicity; 6.2 K-theory as a generalized cohomology theory; 7.1 the Chern character and obstruction theory; 7.2 the Atiyah-Hirzebruch spectral sequence; 7.3 K-theory on algebraic varieties; 8.1 Stein manifold theory; 8.2 holomorphic vector bundles on polydisks; 9.1 concluding remarks; bibliography. Originally published in 1974. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905
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Principles of algebraic geometry
Alternative Names
Feilipu Geliefeisi

Geliefeisi Feilipu

Griffiths, P.

Griffiths, P. 1938-

Griffiths, P. A.

Griffiths, P. A. 1938-

Griffiths, Philip 1938-

Griffiths, Phillip.

Griffiths, Phillip 1938-

Griffiths, Phillip A. 1938-

Griffiths, Phillip Augustus 1938-

Griffiths, Pillip A. 1938-

Griffits, F.

Griffits, F. 1938-

Griffits, Filip 1938-

Griffits, Fillip 1938-

Phillip Griffiths Amerikaans wiskundige

Phillip Griffiths amerikansk matematikar

Phillip Griffiths amerikansk matematiker

Phillip Griffiths matemático estadounidense

Phillip Griffiths matematico statunitense

Phillip Griffiths mathématicien américain

Phillip Griffiths US-amerikanischer Mathematiker

Гриффитс, Ф..

Гриффитс, Ф. А 1938-

Филипп Гриффитс математик

فیلیپ گریفیتس ریاضی‌دان آمریکایی

필립 오거스터스 그리피스



English (317)

Russian (8)

Chinese (1)

Entire holomorphic mappings in one and several complex variablesIntroduction to algebraic curvesTopics in algebraic and analytic geometry; notes from a course of Phillip GriffithsTopics in transcendental algebraic geometryMathematical sciences, technology, and economic competitivenessDifferential systems and isometric embeddingsOn the tangent space to the space of algebraic cycles on a smooth algebraic varietyExterior differential systems and Euler-Lagrange partial differential equations