Abhishek Oswal

collaborators

3 papers

math.NT2026

$p$ -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.NT2026

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…

math.NT2024

$p$ -adic hyperbolicity for moduli spaces of abelian motives

Abhishek Oswal, Ananth N. Shankar, Xinwen Zhu +1

We prove that Shimura varieties of abelian type satisfy a $p$ -adic Borel-extension property over discretely valued fields. More precisely, let $D$ denote the rigid-analyti…

p-adic hyperbolicity for Shimura varieties and period images

p-adic Borel extension for local Shimura varieties

p-adic hyperbolicity for moduli spaces of abelian motives

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

$p$ -adic hyperbolicity for moduli spaces of abelian motives