Twisted L-functions and monodromy:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Princeton
Princeton University Press
2002
|
| Series: | Annals of mathematics studies
no. 150 |
| Subjects: | |
| Online Access: | FAW01 FAW02 Volltext |
| Item Description: | Includes bibliographical references (pages 235-239) and index 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 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 |
| Physical Description: | 1 Online-Ressource (viii, 249 pages) |
| ISBN: | 0691091501 069109151X 1400824885 9780691091501 9780691091518 9781400824885 |
Staff View
MARC
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| 490 | 0 | |a Annals of mathematics studies |v no. 150 | |
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| 650 | 7 | |a MATHEMATICS / Number Theory |2 bisacsh | |
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| isbn | 0691091501 069109151X 1400824885 9780691091501 9780691091518 9781400824885 |
| language | English |
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| spelling | Katz, Nicholas M. Verfasser aut Twisted L-functions and monodromy by Nicholas M. Katz Princeton Princeton University Press 2002 1 Online-Ressource (viii, 249 pages) txt rdacontent c rdamedia cr rdacarrier Annals of mathematics studies no. 150 Includes bibliographical references (pages 235-239) and index 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 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 Mathematics Fonctions L. Groupes de monodromie MATHEMATICS / Number Theory bisacsh MATHEMATICS / Group Theory bisacsh L-functions fast Monodromy groups fast L-functies gtt Monodromie gtt Mathematik L-functions Monodromy groups L-Funktion (DE-588)4137026-0 gnd rswk-swf Monodromie (DE-588)4277667-3 gnd rswk-swf L-Funktion (DE-588)4137026-0 s Monodromie (DE-588)4277667-3 s 1\p DE-604 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=340196 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Katz, Nicholas M. Twisted L-functions and monodromy Mathematics Fonctions L. Groupes de monodromie MATHEMATICS / Number Theory bisacsh MATHEMATICS / Group Theory bisacsh L-functions fast Monodromy groups fast L-functies gtt Monodromie gtt Mathematik L-functions Monodromy groups L-Funktion (DE-588)4137026-0 gnd Monodromie (DE-588)4277667-3 gnd |
| subject_GND | (DE-588)4137026-0 (DE-588)4277667-3 |
| title | Twisted L-functions and monodromy |
| title_auth | Twisted L-functions and monodromy |
| title_exact_search | Twisted L-functions and monodromy |
| title_full | Twisted L-functions and monodromy by Nicholas M. Katz |
| title_fullStr | Twisted L-functions and monodromy by Nicholas M. Katz |
| title_full_unstemmed | Twisted L-functions and monodromy by Nicholas M. Katz |
| title_short | Twisted L-functions and monodromy |
| title_sort | twisted l functions and monodromy |
| topic | Mathematics Fonctions L. Groupes de monodromie MATHEMATICS / Number Theory bisacsh MATHEMATICS / Group Theory bisacsh L-functions fast Monodromy groups fast L-functies gtt Monodromie gtt Mathematik L-functions Monodromy groups L-Funktion (DE-588)4137026-0 gnd Monodromie (DE-588)4277667-3 gnd |
| topic_facet | Mathematics Fonctions L. Groupes de monodromie MATHEMATICS / Number Theory MATHEMATICS / Group Theory L-functions Monodromy groups L-functies Monodromie Mathematik L-Funktion |
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