The Iwasawa Main Conjecture for elliptic curves at odd supersingular primes

Abstract

In this paper, we prove the Iwasawa main conjecture for elliptic curves at an odd supersingular prime p. Some consequences are the p-parts of the leading term formulas in the Birch and Swinnerton-Dyer conjectures for analytic rank 0 or 1.

References in corpus (3)

• Indivisibility of Heegner points in the multiplicative case
• The Birch and Swinnerton-Dyer Formula for Elliptic Curves of Analytic Rank One
• Factorisation of two-variable p-adic L-functions

Cited by in corpus (7)

• On the Iwasawa main conjectures for modular forms at non-ordinary primes
• Ranks of elliptic curves over Z_p^2-extensions
• On fine Selmer groups and the greatest common divisor of signed and chromatic $p$-adic $L$-functions
• Iwasawa theory for Symmetric Square of non-$p$-ordinary eigenforms
• On the refined conjectures on Fitting ideals of Selmer groups of elliptic curves with supersingular reduction
• Codimension two cycles in Iwasawa theory and elliptic curves with supersingular reduction
• On the parity of supersingular Weil polynomials