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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…