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Galois Cohomology
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The Birch and Swinnerton-Dyer
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Computing
Contents
Index
The Birch and Swinnerton-Dyer Formula
Subsections
Galois Cohomology
Group Cohomology
The inf-res Sequence
Galois Cohomology
The Shafarevich-Tate Group
The Elliptic Curve Kummer Sequence
The Global-to-Local Restriction Maps
The Selmer Group
The Shafarevich-Tate Group and the Mordell-Weil Theorem
Some Conjectures and Theorems about the Shafarevich-Tate Group
The Birch and Swinnerton-Dyer Formula
Examples: The Birch and Swinnerton-Dyer Formula
Example: A Curve of Rank 0
Example: A Rank 0 curve with nontrivial Sha
Example: A Curve of Rank 1
Example: A curve of rank
Example: A Rank 3 curve
Example: A Rank 4 curve
The
-adic BSD Conjectural Formula
Example: A Curve of Rank
The
-adic Regulator
William 2007-05-25
-adic BSD Conjectural Formula