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Shafarevich Maps and Automorphic Forms Book

Shafarevich Maps and Automorphic Forms
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Shafarevich Maps and Automorphic Forms, 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 th, Shafarevich Maps and Automorphic Forms
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  • Shafarevich Maps and Automorphic Forms
  • Written by author Janos Kollar
  • Published by Princeton University Press, 7/24/1995
  • 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 th
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Authors

Preface
Acknowledgments
Introduction 3
Ch. 1 Lefschetz-Type Theorems for [pi][subscript 1] 19
Ch. 2 Families of Algebraic Cycles 27
Ch. 3 Shafarevich Maps and Variants 36
Ch. 4 The Fundamental Group and the Classification of Algebraic Varieties 49
Ch. 5 The Method of Poincare 59
Ch. 6 The Method of Atiyah 71
Ch. 7 Subjectivity of the Poincare Map 81
Ch. 8 Ball Quotients 92
Ch. 9 The Kodaira Vanishing Theorem 105
Ch. 10 Generalizations of the Kodaira Vanishing Theorem 115
Ch. 11 Vanishing of L[superscript 2]-Cohomologies 127
Ch. 12 Rational Singularities and Hodge Theory 133
Ch. 13 The Method of Gromov 141
Ch. 14 Nonvanishing Theorems 151
Ch. 15 Plurigenera in Etale Covers 161
Ch. 16 Existence of Automorphic Forms 167
Ch. 17 Applications to Abelian Varieties 175
Ch. 18 Open Problems and Further Remarks 183
References 191
Index 201


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Shafarevich Maps and Automorphic Forms, 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 th, Shafarevich Maps and Automorphic Forms

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Shafarevich Maps and Automorphic Forms, 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 th, Shafarevich Maps and Automorphic Forms

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Shafarevich Maps and Automorphic Forms, 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 th, Shafarevich Maps and Automorphic Forms

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