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Book Categories |
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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Add 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 to your collection on WonderClub |