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.
General
| Imprint: |
Springer-Verlag
|
| Country of origin: |
Germany |
| Series: |
Lecture Notes in Mathematics, 1849 |
| Release date: |
July 2004 |
| First published: |
2004 |
| Authors: |
Martin L. Brown
|
| Dimensions: |
235 x 155 x 27mm (L x W x T) |
| Format: |
Paperback
|
| Pages: |
518 |
| Edition: |
2004 ed. |
| ISBN-13: |
978-3-540-22290-3 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Geometry >
Algebraic geometry
|
| LSN: |
3-540-22290-1 |
| Barcode: |
9783540222903 |
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