Výsledky vyhledávání - "Oswal, Abhishek"

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

Autor: Oswal, Abhishek, Shankar, Ananth N., Zhu, Xinwen, Patel, Anand

We prove that Shimura varieties of abelian type satisfy a $p$-adic Borel-extension property over discretely valued fields. More precisely, let $\mathsf{D}$ denote the rigid-analytic closed unit disc and $\mathsf{D}^{\times} = \mathsf{D} \setminus \{0

Externí odkaz: http://arxiv.org/abs/2310.06104

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Lifts of supersingular abelian varieties with small Mumford-Tate groups

Autor: Lam, Yeuk Hay Joshua, Oswal, Abhishek

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 surfaces, respectively threefolds, can be lifted to ones isogenous to

Externí odkaz: http://arxiv.org/abs/2208.07809

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Bi-algebraicity in the rank one Riemann--Hilbert correspondence via o-minimality

Autor: Oswal, Abhishek

For a smooth, projective, complex algebraic variety $X$, the Riemann--Hilbert correspondence establishes a complex analytic isomorphism between the `Betti moduli space' of rank $n$ local systems on $X^\mathrm{an}$ and the `de Rham moduli space' of ra

Externí odkaz: http://arxiv.org/abs/2204.06757

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Akademický článek

Bi-algebraicity in the rank one Riemann-Hilbert correspondence via o-minimality

Autor: Oswal, Abhishek

Publikováno v: In Advances in Mathematics June 2024 448

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A non-archimedean definable Chow theorem

Autor: Oswal, Abhishek

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-minimal structure, is in fact an algebraic subset. In this paper, we prov

Externí odkaz: http://arxiv.org/abs/2009.06134

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Almost ordinary abelian varieties over finite fields

Autor: Oswal, Abhishek, Shankar, Ananth N.

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 isogeny classes.

Externí odkaz: http://arxiv.org/abs/1901.01589

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