13 citations · 13 across the 7 of their papers we have counts for
7 papers
-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 -adic extension property for large enough primes . More precisely, let $\mathsf{D}^{\times}\subset \math…
p-adic Borel extension for local Shimura varieties
Abhishek Oswal, Georgios Pappas
We show that the moduli spaces of Scholze's -adic shtukas with framing satisfy a -adic rigid analytic version of Borel's extension theorem. In particular, this holds for loca…
-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 -adic Borel-extension property over discretely valued fields. More precisely, let denote the rigid-analyti…
Lifts of supersingular abelian varieties with small Mumford-Tate groups
Yeuk Hay Joshua Lam, Abhishek Oswal
We investigate to what extent an abelian variety over a finite field can be lifted to one in characteristic zero with small Mumford-Tate group. We prove that supersingular abelian…
Bi-algebraicity in the rank one Riemann--Hilbert correspondence via o-minimality
Abhishek Oswal
For a smooth, projective, complex algebraic variety , the Riemann--Hilbert correspondence establishes a complex analytic isomorphism between the `Betti moduli space' of rank …
A non-archimedean definable Chow theorem
Abhishek Oswal
Peterzil and Starchenko have proved the following surprising generalization of Chow's theorem: A closed analytic subset of a complex algebraic variety that is definable in an o-min…
Almost ordinary abelian varieties over finite fields
Abhishek Oswal, Ananth N. Shankar
We provide a characterization of almost ordinary abelian varieties over finite fields, and use this characterization to provide lower bounds for the sizes of some almost ordinary i…