Shafarevich Maps and Automorphic Forms [Hardcover]

Janos Kollar (Author)

Book Description

Publication Date: July 24, 1995 | Series: M.B. Porter Lectures

This text studies 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, this work isolates those varieties where the fundamental group influences global properties of the canonical class. The book is primarily geared towards 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.

Editorial Reviews

Review

I believe Kollar has written a powerful book, and not coincidentally, a fairly demanding one. However, the explanations are clear, and I think that more than half of it would be accessible to anyone who has mastered the basics of complex algebraic geometry.... There are a number of sections ... which could be read independently of the rest of the book and would be of interest to almost any algebraic geometer. But to read only those sections would be a shame, because one would be missing a great deal of wonderful mathematics.

Product Details

• Hardcover: 176 pages
• Publisher: Princeton University Press (July 24, 1995)
• Language: English
• ISBN-10: 0691043817
• ISBN-13: 978-0691043814
• Product Dimensions: 9.6 x 6.4 x 0.8 inches
• Shipping Weight: 1.1 pounds
• Amazon Best Sellers Rank: #2,954,372 in Books (See Top 100 in Books)

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