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Moments, Monodromy, and Perversity: A Diophantine Perspective

Nicholas M. Katz
Publisher: 
Princeton University Press
Publication Date: 
2005
Number of Pages: 
475
Format: 
Paperback
Series: 
Annals of Mathematics Studies
Price: 
59.50
ISBN: 
0-691-12330-6
Category: 
Monograph
We do not plan to review this book.

 Introduction 1
Chapter 1: Basic results on perversity and higher moments 9
Chapter 2: How to apply the results of Chapter 2 93
Chapter 3: Additive character sums on An 111
Chapter 4: Additive character sums on more general X 161
Chapter 5: Multiplicative character sums on An 185
Chapter 6: Middle addivitve convolution 221
Appendix A6: Swan-minimal poles 281
Chapter 7: Pullbacks to curves from A1 295
Chapter 8: One variable twists on curves 321
Chapter 9: Weierstrass sheaves as inputs 327
Chapter 10: Weirstrass families 349
Chapter 11: FJTwist families and variants 371
Chapter 12: Uniformity results 407
Chapter 13: Average analytic rank and large N limits 443
References 455
Notation Index 461
Subject Index 467