Abhishek Oswal

activity

20192025

most citedAlmost ordinary abelian varieties over finite fields

13 citations · 13 across the 7 of their papers we have counts for

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math.NT2025

$p$ -adic hyperbolicity for Shimura varieties and period images

Benjamin Bakker, Abhishek Oswal, Ananth N. Shankar +1

We prove that Shimura varieties and geometric period images satisfy a $p$ -adic extension property for large enough primes $p$ . More precisely, let $\mathsf{D}^{\times}\subset \math…

math.NT2025

p-adic Borel extension for local Shimura varieties

Abhishek Oswal, Georgios Pappas

We show that the moduli spaces of Scholze's $p$ -adic shtukas with framing satisfy a $p$ -adic rigid analytic version of Borel's extension theorem. In particular, this holds for loca…

p-adic hyperbolicity for Shimura varieties and period images

p-adic Borel extension for local Shimura varieties

$p$ -adic hyperbolicity for Shimura varieties and period images