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Moments, Monodromy, and Perversity a Diophantine Perspective

by Nicholas M. Katz

  • ISBN: 9780691123295
  • ISBN10: 0691123292

Moments, Monodromy, and Perversity a Diophantine Perspective

by Nicholas M. Katz

  • List Price: $99.50
  • Binding: Hardcover
  • Publisher: Princeton University Press
  • Publish date: 10/01/2005
  • ISBN: 9780691123295
  • ISBN10: 0691123292
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Description: 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 A n 111 Chapter 4: Additive character sums on more general X 161 Chapter 5: Multiplicative character sums on A n 185 Chapter 6: Middle addivitve convolution 221 Appendix A6: Swan-minimal poles 281 Chapter 7: Pullbacks to curves from A 1 295 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
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