3 papers
math.AG2022
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 …
math.AG2020
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…
math.NT2019
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…