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math.NT2026
Local monodromy of unit root F-isocrystals from Shimura varieties
Tejasi Bhatnagar
We generalise a local -adic monodromy theorem of Igusa that studies the monodromy representation associated to the universal elliptic curve around a supersingular point of the m…
math.NT2024
Monodromy results for abelian surfaces and K3 surfaces with bad reduction
Tejasi Bhatnagar
The purpose of this paper is to prove a local p-adic monodromy theorem for ordinary abelian surfaces and K3 surfaces with bad reduction in characteristic p. As an application, we g…
math.NT2024
Size of isogeny classes of abelian varieties of Lubin-Tate type
Tejasi Bhatnagar
We prove a lower bound for the size of the isogeny class of a simple abelian variety over a finite field with commutative endomorphism ring in the Lubin-Tate case. Moreover, based…