Description: Shafarevich Maps and Automorphic Forms, Hardcover by Kollár, János, ISBN 0691636427, ISBN-13 9780691636429, Brand New, Free shipping in the US
The aim of this book is to study various geometric properties and algebraic invariants of smooth projective varieties with infinite fundamental groups. This approach allows for much interplay between methods of algebraic geometry, complex analysis, the theory of harmonic maps, and topology. Making systematic use of Shafarevich maps, a concept previously introduced by the author, this work isolates those varieties where the fundamental group influences global properties of the canonical class.
Th is primarily geared toward researchers and graduate students in algebraic geometry who are interested in the structure and classification theory of algebraic varieties. There are, however, presentations of many other applications involving other topics as well--such as Abelian varieties, theta functions, and automorphic forms on bounded domains. The methods are drawn from diverse sources, including Atiyahs L2 -index theorem, Gromovs theory of Poincar series, and recent generalizations of Kodairas vanishing theorem.
Originally published in 1995.
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Book Title: Shafarevich Maps and Automorphic Forms
Number of Pages: 212 Pages
Publication Name: Shafarevich Maps and Automorphic Forms
Language: English
Publisher: Princeton University Press
Publication Year: 2016
Item Height: 0.7 in
Subject: Algebra / General, Geometry / Algebraic, Complex Analysis
Item Weight: 16 Oz
Type: Textbook
Author: János Kollár
Item Length: 9.4 in
Subject Area: Mathematics
Series: Porter Lectures
Item Width: 7.4 in
Format: Hardcover
