2 papers
math.NT2017
Arithmetic of Borcherds products
Benjamin Howard, Keerthi Madapusi Pera
We compute the divisors of Borcherds products on integral models of orthogonal Shimura varieties. As an application, we obtain an integral version of a theorem of Borcherds on the…
math.NT2015
2-adic integral canonical models and the Tate conjecture in characteristic 2
Wansu Kim, Keerthi Madapusi Pera
We use E. Lau's classification of 2-divisible groups using Dieudonné displays to construct integral canonical models for Shimura varieties of abelian type at 2-adic places where th…