Abstract
Chromatic Selmer groups are modified Selmer groups with local information for supersingular primes p. We sketch their role in establishing the p-primary part of the Birch–Swinnerton-Dyer formula in Sections 2–5, and then study the growth of the Mordell–Weil rank along the Z2p-extension of a quadratic imaginary number field in which p splits in Section 6.
Original language | English (US) |
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Pages (from-to) | 1103-1114 |
Number of pages | 12 |
Journal | Journal de Theorie des Nombres de Bordeaux |
Volume | 33 |
Issue number | 3.2 |
DOIs | |
State | Published - 2021 |
Keywords
- Elliptic curves
- Mordell–Weil rank
- Selmer group
ASJC Scopus subject areas
- Algebra and Number Theory