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 2018Show all

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math.NT2018★ 1 cited

Indivisibility of Heegner points and arithmetic applications

Ashay Burungale, Francesc Castella, Chan-Ho Kim

We upgrade Howard's divisibility towards Perrin-Riou's Heegner point main conjecture to the predicted equality. Contrary to previous works in this direction, our main result allows…

math.NT2018★ 8 cited

On the non-vanishing of $p$ -adic heights on CM abelian varieties, and the arithmetic of Katz $p$ -adic $L$ -functions

Ashay Burungale, Daniel Disegni

Let $B$ be a simple CM abelian variety over a CM field $E$ , $p$ a rational prime. Suppose that $B$ has potentially ordinary reduction above $p$ and is self-dual with root number $-…

Indivisibility of Heegner points and arithmetic applications

On the non-vanishing of p-adic heights on CM abelian varieties, and the arithmetic of Katz p-adic L-functions

On the non-vanishing of $p$ -adic heights on CM abelian varieties, and the arithmetic of Katz $p$ -adic $L$ -functions