Heegner Modules and Elliptic Curves
1 edition
Our rough guess is there are 129,250 words in this book.
At a pace averaging 250 words per minute, this book will take 8 hours and 37 minutes to read. With a half hour per day, this will take 17 days to read.
How long will it take you?
This book will take an estimated to read at a reading speed averaging words per minute. With 30 minutes per day, this will take to read.
Enter your reading speedYou can take one of our WPM reading speed tests to find your reading speed.
Create a free account to track your reading progress, build your reading list, and set reading goals.
Word Count
129,250 words, Guess
Page Count
517 pages
Physical Format
Paperback
Identifiers
- Open LibraryOL9832163M
- ISBN-139783540222903
- ISBN-103540222901
- OCLC Control Number56014403
- OCLC Control Numberheegnermodulesel00brow
and 2 more
- Library of Congress Control Number2004107464
- Goodreads1394945
Classifications
- LCCQA3 .L28 no. 1849
Description
Heegner points on both modular curves and elliptic curves over global fields of any characteristic form the topic of this research monograph. The Heegner module of an elliptic curve is an original concept introduced in this text. The computation of the cohomology of the Heegner module is the main technical result and is applied to prove the Tate conjecture for a class of elliptic surfaces over finite fields; this conjecture is equivalent to the Birch and Swinnerton-Dyer conjecture for the corresponding elliptic curves over global fields.
First Sentence
The points of departure of this text are twofold: first the proof by Drinfeld in 1974 ([Drl], see also Appendix B) of an important case of the Langlands conjecture for GL2 over a global field of positive characteristic and second the proof by Kolyvagin [K] in 1989 of the Birch Swinnerton-Dyer conjecture for a class of Weil elliptic curves over the rational field Q.
Subjects
Topics
Other Editions
- Heegner Modules and Elliptic Curves
Similar Books
Cohomology of Number Fields (Grundlehren der mathematischen Wissenschaften)
Alexander Schmidt, Kay Wingberg, Jürgen Neukirch
Abelian l-adic representations and elliptic curves: McGill University lectures notes
Jean-Pierre Serre, Ian Stewart
Basic Algebraic Geometry 2: Schemes and Complex Manifolds
Igor R. Shafarevich
Reader Reviews
No reviews yet for this book.
Be the first to share your thoughts!