Harris, Joe 1951
Overview
Works:  22 works in 179 publications in 5 languages and 5,454 library holdings 

Roles:  Author 
Classifications:  QA564, 516.35 
Publication Timeline
.
Most widely held works by
Joe Harris
The geometry of schemes
by
David Eisenbud(
)
32 editions published between 1999 and 2010 in English and Italian and held by 1,015 WorldCat member libraries worldwide
The theory of schemes is the foundation for algebraic geometry proposed and elaborated by Alexander Grothendieck and his coworkers. It has allowed major progress in classical areas of algebraic geometry such as invariant theory and the moduli of curves. It integrates algebraic number theory with algebraic geometry, fulfilling the dreams of earlier generations of number theorists. This integration has led to proofs of some of the major conjectures in number theory (Deligne's proof of the Weil Conjectures, Faltings proof of the Mordell Conjecture). This book is intended to bridge the chasm between a first course in classical algebraic geometry and a technical treatise on schemes. It focuses on examples, and strives to show "what is going on" behind the definitions. There are many exercises to test and extend the reader's understanding. The prerequisites are modest: a little commutative algebra and an acquaintance with algebraic varieties, roughly at the level of a onesemester course. The book aims to show schemes in relation to other geometric ideas, such as the theory of manifolds. Some familiarity with these ideas is helpful, though not required
32 editions published between 1999 and 2010 in English and Italian and held by 1,015 WorldCat member libraries worldwide
The theory of schemes is the foundation for algebraic geometry proposed and elaborated by Alexander Grothendieck and his coworkers. It has allowed major progress in classical areas of algebraic geometry such as invariant theory and the moduli of curves. It integrates algebraic number theory with algebraic geometry, fulfilling the dreams of earlier generations of number theorists. This integration has led to proofs of some of the major conjectures in number theory (Deligne's proof of the Weil Conjectures, Faltings proof of the Mordell Conjecture). This book is intended to bridge the chasm between a first course in classical algebraic geometry and a technical treatise on schemes. It focuses on examples, and strives to show "what is going on" behind the definitions. There are many exercises to test and extend the reader's understanding. The prerequisites are modest: a little commutative algebra and an acquaintance with algebraic varieties, roughly at the level of a onesemester course. The book aims to show schemes in relation to other geometric ideas, such as the theory of manifolds. Some familiarity with these ideas is helpful, though not required
Principles of algebraic geometry
by
Phillip Griffiths(
Book
)
36 editions published between 1976 and 2007 in English and held by 952 WorldCat member libraries worldwide
A comprehensive, selfcontained 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 top
36 editions published between 1976 and 2007 in English and held by 952 WorldCat member libraries worldwide
A comprehensive, selfcontained 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 top
Moduli of curves
by
Joe Harris(
)
20 editions published between 1989 and 2005 in English and held by 927 WorldCat member libraries worldwide
This book provides a guide to a rich and fascinating subject: algebraic curves and how they vary in families. The aim has been to provide a broad but compact overview of the field, which will be accessible to readers with a modest background in algebraic geometry. Many techniques including Hilbert schemes, deformation theory, stable reduction, intersection theory, and geometric invariant theory are developed, with a focus on examples and applications arising in the study of moduli of curves. From such foundations, the book goes on to show how moduli spaces of curves are constructed, to illustrate typical applications with the proofs of the BrillNoether and Gieseker Petri theorems via limit linear series, and to survey the most important results about their geometry ranging from irreducibility and complete subvarieties to ample divisors and Kodaira dimension. With over 180 exercises and 70 figures, the book also provides a concise introduction to the main results and open problems about important
20 editions published between 1989 and 2005 in English and held by 927 WorldCat member libraries worldwide
This book provides a guide to a rich and fascinating subject: algebraic curves and how they vary in families. The aim has been to provide a broad but compact overview of the field, which will be accessible to readers with a modest background in algebraic geometry. Many techniques including Hilbert schemes, deformation theory, stable reduction, intersection theory, and geometric invariant theory are developed, with a focus on examples and applications arising in the study of moduli of curves. From such foundations, the book goes on to show how moduli spaces of curves are constructed, to illustrate typical applications with the proofs of the BrillNoether and Gieseker Petri theorems via limit linear series, and to survey the most important results about their geometry ranging from irreducibility and complete subvarieties to ample divisors and Kodaira dimension. With over 180 exercises and 70 figures, the book also provides a concise introduction to the main results and open problems about important
Algebraic geometry : a first course
by
Joe Harris(
Book
)
24 editions published between 1992 and 2010 in 3 languages and held by 833 WorldCat member libraries worldwide
This book is intended to introduce students to algebraic geometry; to give them a sense of the basic objects considered, the questions asked about them, and the sort of answers one can expect to obtain. It thus emplasizes the classical roots of the subject. For readers interested in simply seeing what the subject is about, this avoids the more technical details better treated with the most recent methods. For readers interested in pursuing the subject further, this book will provide a basis for understanding the developments of the last half century, which have put the subject on a radically new footing. Based on lectures given at Brown and Harvard Universities, this book retains the informal style of the lectures and stresses examples throughout; the theory is developed as needed. The first part is concerned with introducing basic varieties and constructions; it describes, for example, affine and projective varieties, regular and rational maps, and particular classes of varieties such as determinantal varieties and algebraic groups. The second part discusses attributes of varieties, including dimension, smoothness, tangent spaces and cones, degree, and parameter and moduli spaces
24 editions published between 1992 and 2010 in 3 languages and held by 833 WorldCat member libraries worldwide
This book is intended to introduce students to algebraic geometry; to give them a sense of the basic objects considered, the questions asked about them, and the sort of answers one can expect to obtain. It thus emplasizes the classical roots of the subject. For readers interested in simply seeing what the subject is about, this avoids the more technical details better treated with the most recent methods. For readers interested in pursuing the subject further, this book will provide a basis for understanding the developments of the last half century, which have put the subject on a radically new footing. Based on lectures given at Brown and Harvard Universities, this book retains the informal style of the lectures and stresses examples throughout; the theory is developed as needed. The first part is concerned with introducing basic varieties and constructions; it describes, for example, affine and projective varieties, regular and rational maps, and particular classes of varieties such as determinantal varieties and algebraic groups. The second part discusses attributes of varieties, including dimension, smoothness, tangent spaces and cones, degree, and parameter and moduli spaces
Representation theory : a first course
by
William Fulton(
Book
)
14 editions published between 1991 and 2005 in English and held by 623 WorldCat member libraries worldwide
14 editions published between 1991 and 2005 in English and held by 623 WorldCat member libraries worldwide
Schemes : the language of modern algebraic geometry
by
David Eisenbud(
Book
)
10 editions published between 1991 and 1999 in English and held by 356 WorldCat member libraries worldwide
10 editions published between 1991 and 1999 in English and held by 356 WorldCat member libraries worldwide
Geometry of algebraic curves
by
E Arbarello(
)
8 editions published in 2011 in English and held by 346 WorldCat member libraries worldwide
8 editions published in 2011 in English and held by 346 WorldCat member libraries worldwide
Curves in projective space
by
Joe Harris(
Book
)
11 editions published in 1982 in English and French and held by 190 WorldCat member libraries worldwide
11 editions published in 1982 in English and French and held by 190 WorldCat member libraries worldwide
The magic of numbers
by
Benedict H Gross(
Book
)
7 editions published between 2003 and 2005 in English and Japanese and held by 108 WorldCat member libraries worldwide
7 editions published between 2003 and 2005 in English and Japanese and held by 108 WorldCat member libraries worldwide
A celebration of algebraic geometry : a conference in honor of Joe Harris' 60th birthday, Harvard University, Cambridge, Massachusetts, August 2528, 2011
by Algebraic geometry conference(
Book
)
3 editions published in 2013 in English and held by 52 WorldCat member libraries worldwide
3 editions published in 2013 in English and held by 52 WorldCat member libraries worldwide
Geometry of algebraic curves
by
E Arbarello(
Book
)
in English and held by 28 WorldCat member libraries worldwide
Vol. 2: 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 algebrogeometric, 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
in English and held by 28 WorldCat member libraries worldwide
Vol. 2: 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 algebrogeometric, 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
Geometry of Algebraic Curves Volume II with a contribution by Joseph Daniel Harris
by
E Arbarello(
)
1 edition published in 2011 in English and held by 7 WorldCat member libraries worldwide
1 edition published in 2011 in English and held by 7 WorldCat member libraries worldwide
Two practical heroines
by
Joe Harris(
Book
)
2 editions published in 1905 in English and held by 5 WorldCat member libraries worldwide
2 editions published in 1905 in English and held by 5 WorldCat member libraries worldwide
Principles of Algebraic Geometry
(
)
2 editions published in 2011 in English and held by 4 WorldCat member libraries worldwide
A comprehensive, selfcontained 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
2 editions published in 2011 in English and held by 4 WorldCat member libraries worldwide
A comprehensive, selfcontained 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
From Varieties to Schemes
by
David Eisenbud(
Book
)
1 edition published in 1990 in English and held by 1 WorldCat member library worldwide
1 edition published in 1990 in English and held by 1 WorldCat member library worldwide
A bound on the geometric genus of projective varieties
by
Joe Harris(
Book
)
1 edition published in 1978 in English and held by 1 WorldCat member library worldwide
1 edition published in 1978 in English and held by 1 WorldCat member library worldwide
A new optical technique for probing clear air turbulence
by
Joe Harris(
)
1 edition published in 2011 in English and held by 1 WorldCat member library worldwide
1 edition published in 2011 in English and held by 1 WorldCat member library worldwide
A celebration of algebraic geometry : in honor of Joe Harris' 60th birthday, August 2528, 2011, Harvard University, Cambridge, Massachusetts
(
Book
)
1 edition published in 2013 in English and held by 1 WorldCat member library worldwide
1 edition published in 2013 in English and held by 1 WorldCat member library worldwide
Readings in old languages
by Alice ColbyHall(
Recording
)
1 edition published in 1982 in English and held by 1 WorldCat member library worldwide
1 edition published in 1982 in English and held by 1 WorldCat member library worldwide
Geometry of algebraic curves
by
E Arbarello(
Book
)
1 edition published in 2011 in English and held by 1 WorldCat member library 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 algebrogeometric, 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
1 edition published in 2011 in English and held by 1 WorldCat member library 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 algebrogeometric, 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
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Eisenbud, David Author Contributor
 Griffiths, Phillip 1938 Author
 Morrison, Ian 1950
 Fulton, William 1939 Author
 Cornalba, M. (Maurizio)
 Arbarello, E. Author
 Gross, Benedict H. 1950 Author
 Hassett, Brendan Editor
 American Mathematical Society
 Clay Mathematics Institute
Useful Links
Associated Subjects
Cell aggregationMathematics Combinatorial analysis Curves, Algebraic Differential equations, Partial Functions of complex variables Geometry, Algebraic Group schemes (Mathematics) Lie algebras Lie groups Mathematics Moduli theory Projective spaces Representations of algebras Representations of groups Schemes (Algebraic geometry) Topological groups
Alternative Names
Charris, Dž 1951
Harris, Dž.
Harris, J.
Harris, Joe.
Harris, Joe 1951
Harris, Joseph
Harris, Joseph 1951
Harris, Joseph 1951 August 17
Harris, Joseph D. 1951
Harris, Joseph Daniel.
Harris, Joseph Daniel 1951
ハリス, ジョー
Languages
Covers