Coleman Maps for Modular Forms at Supersingular Primes over Lubin-Tate Extensions

Abstract

Given an elliptic curve with supersingular reduction at an odd prime p, Iovita and Pollack have generalised results of Kobayashi to define even and odd Coleman maps at p over Lubin-Tate extensions given by a formal group of height 1. We generalise this construction to modular forms of higher weights.

arXiv commentSome really minor changes from the previous version, almost identical to the published version

References in corpus (1)

• Iwasawa theory for elliptic curves at supersingular primes over Z_p-extensions of number fields

Cited by in corpus (2)

• Bounds on the Tamagawa numbers of a crystalline representation over towers of cyclotomic extensions
• On the structure of the Bloch--Kato Selmer groups of modular forms over anticyclotomic ${\mathbf{Z}}_p$-towers