4 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…
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…
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…
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…