Ashay A. Burungale

activity

20132026

p

-adic Abel-Jacobi image of generalised Heegner cycles modulo

p

, II: Shimura curves

30 citations · 86 across the 26 of their papers we have counts for

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Showing 2019Show all

2 papers · 1 filter

math.NT2019★ 28 cited

A proof of Perrin-Riou's Heegner point main conjecture

Ashay Burungale, Francesc Castella, Chan-Ho Kim

Let $E / Q$ be an elliptic curve of conductor $N$ , let $p > 3$ be a prime where $E$ has good ordinary reduction, and let $K$ be an imaginary quadratic field satisfying the Hee…

math.NT2019

Ordinary deformations are unobstructed in the cyclotomic limit

Ashay Burungale, Laurent Clozel

The deformation theory of ordinary representations of the absolute Galois groups of totally real number fields (over a finite field $k$ ) has been studied for a long time, starting…