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Elliptic Curves and Arithmetic Invariants

SMM: ELLIPTIC CURVES AND ARITHMETIC INVARIANTS

Mathematics

Mathematics & Science

Gt Product Group

Binding Format

Marketing Imprint Name

B2B GT

CL Carton Count

Imprint Name

B2B & B2C

This book contains a detailed account of the result of the author's recent Annals paper and JAMS paper on arithmetic invariant, including μ-invariant, L-invariant, and similar topics.   This book can be regarded as an introductory text to the author's previous book p-Adic Automorphic Forms on Shimura Varieties.  Written as a down-to-earth introduction to Shimura varieties, this text includes many examples and applications of the theory that provide motivation for the reader.  Since it is limited to modular curves and the corresponding Shimura varieties, this book is not only a great resource for experts in the field, but it is also accessible to advanced graduate students studying number theory.  Key topics include non-triviality of arithmetic invariants and special values of L-functions; elliptic curves over complex and p-adic fields; Hecke algebras; scheme theory; elliptic and modular curves over rings; and Shimura curves.

POST SECONDARY FOUR YEAR

COLFR

COLJR

COLSO

COLSR

Duration

Duration Unit Of Measure

Transaction Type

Front Cover.
Other Frontmatter.
Title Page.
Copyright Page.
Preface.
Contents.
1: Nontriviality of Arithmetic Invariants.
2: Elliptic Curves and Modular Forms.
3: Invariants, Shimura Variety, and Hecke Algebra.
4: Review of Scheme Theory.
5: Geometry of Variety.
6: Elliptic and Modular Curves over Rings.
7: Modular Curves as Shimura Variety.
8: Nonvanishing Modulo p of Hecke L-Values.
9: p-Adic Hecke L-Functions and Their &#x00BC;-Invariants.
10: Toric Subschemes in a Split Formal Torus.
11: Hecke Stable Subvariety is a Shimura Subvariety.
References.
Symbol Index.
Statement Index.
Subject Index.

Elliptic Curves and Arithmetic Invariants.css-1p8rvzy{position:absolute;padding-left:8px;}

Elliptic Curves and Arithmetic Invariants