| Description |
1 online resource (viii, 249 pages). |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
Annals of mathematics studies ; no. 150
|
|
Annals of mathematics studies ; no. 150.
|
| Bibliography |
Includes bibliographical references (pages 235-239) and index. |
| Contents |
Cover; Title Page; Copyright Page; Table of Contents; Introduction; Part I: Background Material; Appendix to Chapter 1: A Result of Zalesskii; Chapter 2: Lefschetz Pencils, Especially on Cur; Chapter 3: Induction; Chapter 4: Middle Convolution; Part II: Twist Sheaves, over an Algebraically Closed Field; Chapter 5: Twist Sheaves and Their Monodromy; Part III: Twist Sheaves, over a Finite Field; Chapter 6: Dependence on Parameters; Chapter 7: Diophantine Applications over a Finite Field; Chapter 8: Average Order of Zero in Twist Families. |
| Summary |
For hundreds of years, the study of elliptic curves has played a central role in mathematics. The past century in particular has seen huge progress in this study, from Mordell's theorem in 1922 to the work of Wiles and Taylor-Wiles in 1994. Nonetheless, there remain many fundamental questions where we do not even know what sort of answers to expect. This book explores two of them: What is the average rank of elliptic curves, and how does the rank vary in various kinds of families of elliptic curves?Nicholas Katz answers these questions for families of ''big'' twists of elliptic curves in the f. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
L-functions.
|
|
L-functions. |
|
Monodromy groups.
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Monodromy groups. |
| Genre/Form |
Electronic books.
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Electronic books.
|
| Other Form: |
Print version: Katz, Nicholas M., 1943- Twisted L-functions and monodromy. Princeton : Princeton University Press, 2002 0691091501 (DLC) 2001027846 (OCoLC)46952280 |
| ISBN |
9781400824885 (electronic book) |
|
1400824885 (electronic book) |
|
0691091501 |
|
9780691091501 |
|
069109151X |
|
9780691091518 |
|
