Non-commutative p-adic L-functions for supersingular primes

Abstract

Let E/Q be an elliptic curve with good supersingular reduction at p with a_p(E)=0. We give a conjecture on the existence of analytic plus and minus p-adic L-functions of E over the Zp-cyclotomic extension of a finite Galois extension of Q where p is unramified. Under some technical conditions, we adopt the method of Bouganis and Venjakob for p-ordinary CM elliptic curves to construct such functions for a particular non-abelian extension.

13 pages; some minor corrections; to appear in International Journal of Number Theory

References in corpus (4)

• Computations in non-commutative Iwasawa theory
• Iwasawa Theory for Modular Forms at Supersingular Primes
• Iwasawa theory of totally real fields for certain non-commutative $p$-extensions
• Signed Selmer Groups over p-adic Lie Extensions

Cited by in corpus (2)

• On the growth of Mordell-Weil ranks in $p$-adic Lie extensions
• On the cohomology of Kobayashi's plus/minus norm groups and applications