5 papers
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…
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…
Covers of curves, Ceresa cycles, and Unlikely intersections
Tejasi Bhatnagar, Sheela Devadas, Toren D'Nelly-Warady +1
Fix a smooth, projective, geometrically integral curve of genus over a characteristic zero field. We prove that the Ceresa cycle of a v…
Abelian varieties with real multiplication: classification and isogeny classes over finite fields
Tejasi Bhatnagar, Yu Fu
In this paper, we provide a classification of certain points on Hilbert modular varieties over finite fields under a mild assumption on Newton polygon. Furthermore, we use this cha…
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…