Shafarevich Maps and Automorphic Forms
Shafarevich Maps and Automorphic Forms
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DOI：
10.1515/9781400864195
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发表时间：
1995-07
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影响因子：
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通讯作者：
J. Kollár
中科院分区：
文献类型：
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作者：
J. Kollár
本文研究了具有无穷基群的光滑射影变的各种几何性质和代数不变量。这种方法允许代数几何、复分析、调和映射理论和拓扑学之间的相互作用。通过系统地使用Shafarevich图，这项工作分离了那些基本群影响规范类全局属性的变体。这本书主要是面向研究人员和研究生在代数几何谁感兴趣的结构和代数变种的分类理论。然而，也有许多涉及其他主题的其他应用的介绍-例如阿贝尔变量，函数和有界域上的自同构形式。
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.