Lecture Notes in Mathematics

Heegner Modules and Elliptic Curves

Authors: Brown, Martin L.

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About this book

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.

Table of contents (10 chapters)

Buy this book

eBook $84.99
price for USA (gross)
  • ISBN 978-3-540-44475-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $109.00
price for USA
  • ISBN 978-3-540-22290-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Heegner Modules and Elliptic Curves
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1849
Copyright
2004
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-44475-6
DOI
10.1007/b98488
Softcover ISBN
978-3-540-22290-3
Series ISSN
0075-8434
Edition Number
1
Number of Pages
X, 518
Topics