After developing the theory of arithmetic duality for Galois cohomology with a particular focus on the cohomology of an elliptic curve over a local field or a number field, we use these results to define Kolyvagin systems and show how they provide bounds for the Selmer groups of the elliptic curve.
Duality theorems and Kolyvagin systems for elliptic curves
Morosin, Marco
2021/2022
Abstract
After developing the theory of arithmetic duality for Galois cohomology with a particular focus on the cohomology of an elliptic curve over a local field or a number field, we use these results to define Kolyvagin systems and show how they provide bounds for the Selmer groups of the elliptic curve.File in questo prodotto:
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/20.500.12608/21316