WorldCat Identities

Müller-Stach, Stefan 1962-

Overview
Works: 18 works in 38 publications in 2 languages and 642 library holdings
Genres: Conference proceedings 
Roles: Editor
Classifications: QA564, 516.35
Publication Timeline
Key
Publications about  Stefan Müller-Stach Publications about Stefan Müller-Stach
Publications by  Stefan Müller-Stach Publications by Stefan Müller-Stach
Most widely held works by Stefan Müller-Stach
Transcendental aspects of algebraic cycles : proceedings of the Grenoble Summer School, 2001 by Stefan Müller-Stach ( Book )
10 editions published in 2004 in English and held by 234 WorldCat member libraries worldwide
Lecture notes for graduates or researchers wishing to enter this modern field of research
Period mappings and period domains by James A Carlson ( Book )
8 editions published in 2003 in English and held by 210 WorldCat member libraries worldwide
The concept of a period of an elliptic integral goes back to the 18th century. Later Abel, Gauss, Jacobi, Legendre, Weierstrass and others made a systematic study of these integrals. Rephrased in modern terminology, these give a way to encode how the complex structure of a two-torus varies, thereby showing that certain families contain all elliptic curves. Generalizing to higher dimensions resulted in the formulation of the celebrated Hodge conjecture, and in an attempt to solve this, Griffiths generalized the classical notion of period matrix and introduced period maps and period domains which reflect how the complex structure for higher dimensional varieties varies. The basic theory as developed by Griffiths is explained in the first part of the book. Then, in the second part spectral sequences and Koszul complexes are introduced and are used to derive results about cycles on higher dimensional algebraic varieties such as the Noether-Lefschetz theorem and Nori's theorem. Finally, in the third part differential geometric methods are explained leading up to proofs of Arakelov-type theorems, the theorem of the fixed part, the rigidity theorem, and more. Higgs bundles and relations to harmonic maps are discussed, and this leads to striking results such as the fact that compact quotients of certain period domains can never admit a Kahler metric or that certain lattices in classical Lie groups can't occur as the fundamental group of a Kahler manifold
Elementare und algebraische Zahlentheorie Ein moderner Zugang zu klassischen Themen by Stefan Müller-Stach ( )
5 editions published between 2006 and 2011 in German and held by 146 WorldCat member libraries worldwide
Crashkurs Hodgetheorie by Stefan Müller-Stach ( Book )
1 edition published in 1994 in German and held by 15 WorldCat member libraries worldwide
The arithmetic and geometry of algebraic cycles by B. Brent Gordon ( )
1 edition published in 2000 in English and held by 10 WorldCat member libraries worldwide
The subject of algebraic cycles has thrived through its interaction with algebraic K-theory, Hodge theory, arithmetic algebraic geometry, number theory, and topology. These interactions have led to such developments as a description of Chow groups in terms of algebraic K-theory, the arithmetic Abel-Jacobi mapping, progress on the celebrated conjectures of Hodge and Tate, and the conjectures of Bloch and Beilinson. <br/> The immense recent progress in algebraic cycles, based on so many interactions with so many other areas of mathematics, has contributed to a considerable degree of inaccessibility, especially for graduate students. Even specialists in one approach to algebraic cycles may not understand other approaches well. <br/> This book offers students and specialists alike a broad perspective of algebraic cycles, presented from several viewpoints, including arithmetic, transcendental, topological, motives and K-theory methods. Topics include a discussion of the arithmetic Abel-Jacobi mapping, higher Abel-Jacobi regulator maps, polylogarithms and L-series, candidate Bloch-Beilinson filtrations, applications of Chern-Simons invariants to algebraic cycles via the study of algebraic vector bundles with algebraic connection, motivic cohomology, Chow groups of singular varieties, and recent progress on the Hodge and Tate conjectures for Abelian varieties
Zahlentheorie ( Book )
1 edition published in 2006 in German and held by 4 WorldCat member libraries worldwide
The Milnor-Chow homomorphism revisited by Moritz Kerz ( Book )
1 edition published in 2007 in English and held by 3 WorldCat member libraries worldwide
L2-vanishing theorems on ball quotients and applications by Stefan Müller-Stach ( Book )
1 edition published in 2007 in English and held by 3 WorldCat member libraries worldwide
Polylogarithmic identities in cubical higher chow groups by Herbert Gangl ( Book )
1 edition published in 1998 in English and held by 2 WorldCat member libraries worldwide
Compactifications of C 3 with reducible boundary divisor by Stefan Müller-Stach ( Book )
1 edition published in 1989 in English and held by 2 WorldCat member libraries worldwide
Eine Anwendung der Klassifikationstheorie projektiver Varietäten auf Kompaktifizierungen des C3 by Stefan J Müller-Stach ( Book )
1 edition published in 1989 in German and held by 1 WorldCat member library worldwide
L_1hn2-vanishing theorems on ball quotients and applications by Stefan Müller-Stach ( Book )
1 edition published in 2007 in English and held by 1 WorldCat member library worldwide
Transcendental aspects of algebraic cycles : proceedings of the Grenoble Summer School ( Book )
1 edition published in 2004 in English and held by 1 WorldCat member library worldwide
Transcedental aspects of algebraic cycles : proceedings of the Grenoble Summer School, 2001 ( Book )
1 edition published in 2004 in English and held by 1 WorldCat member library worldwide
Milnor K-theory of rings, higher Chow groups and applications by Philippe Elbaz-Vincent ( Book )
1 edition published in 1998 in English and held by 1 WorldCat member library worldwide
Syzygies and the Abel-Jacobi map for cyclic coverings by Stefan Müller-Stach ( Book )
1 edition published in 1993 in Undetermined and held by 1 WorldCat member library worldwide
Algebraic cycles on certain Calabi-Yau threefolds by Fabio Bardelli ( Book )
1 edition published in 1992 in English and held by 0 WorldCat member libraries worldwide
 
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Audience Level
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Audience level: 0.80 (from 0.00 for Transceden ... to 0.93 for The arithm ...)
Alternative Names
Müller-Stach, S.
Müller-Stach, S. 1962-
Müller-Stach, S. J. 1962-
Müller-Stach, S. (Stefan), 1962-
Müller-Stach, St. 1962-
Müller-Stach, St. J. 1962-
Müller-Stach, Stefan
Müller-Stach, Stefan J., 1962-
Stach, Stefan Müller-.
Stach, Stefan Müller-, 1962-
Languages
English (29)
German (8)
Covers