Galois Cohomology of Elliptic Curves
Material type:
TextLanguage: English Series: Tata Institute of Fundamental Research lectures on mathematics ; 88Publication details: New Delhi Narosa Pub. House 2000Description: ix, 100pISBN: - 8173192936 (PB)
BOOKS
| Home library | Call number | Materials specified | Status | Date due | Barcode | |
|---|---|---|---|---|---|---|
| IMSc Library | 512.6/.742 COA (Browse shelf(Opens below)) | Available | 42677 |
Includes bibliography (p. 97-100)and references
1. Basic Results from Galois Cohomology
Poitou-Tate sequence
Cassels-Poitou-Tate sequence
Cassels-Poitou-Tate sequence for elliptic curves
2. The Iwasawa Theory of the Selmer Group
The fundamental diagram
Cyclotomic theory
The division field case
3. The Euler Characteristic Formula
Cyclotomic theory
The division field case
4. Numerical Examples over the Cyclotomic Z[subscript p]-extension of Q
Iwasawa theory over Q[subscript [infinity]] for the curves of conductor 11
Iwasawa theory over Q[subscript [infinity]] for the curves of conductor 294
5. Numerical examples over Q([mu][subscript p][infinity])
General strategy for the curves of conductor 11 over Q([mu][subscript 5][infinity])
The curve A[subscript 0]
The curve A[subscript 2]
Infinite descent on A[subscript 1] over Q([mu][subscript 5])
The curves of conductor 294 over Q([mu][subscript 7][infinity]
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