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math.NT2022
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…
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 …