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math.NT2026
Anticyclotomic Iwasawa theory of CM elliptic curves at ramified primes
Ashay Burungale, Shinichi Kobayashi, Kentaro Nakamura +1
We propose an integral framework for the anticyclotomic Iwasawa theory of CM elliptic curves at primes ramified in the CM field. The -constants of the geometri…
math.NT2025
A local sign decomposition for symplectic self-dual Galois representations of rank two
Ashay Burungale, Shinichi Kobayashi, Kentaro Nakamura +1
We prove the existence of a new structure on the first Galois cohomology of generic families of symplectic self-dual -adic representations of of rank two (a l…