9 citations · 18 across the 3 of their papers we have counts for
5 papers
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…
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…
Faltings heights of abelian varieties with complex multiplication
Fabrizio Andreatta, Eyal Z. Goren, Benjamin Howard +1
Let M be the Shimura variety associated with the group of spinor similitudes of a rational quadratic space over of signature (n,2). We prove a conjecture of Bruinier-Kudla-Yang, re…
The Tate conjecture for K3 surfaces in odd characteristic
Keerthi Madapusi Pera
We show that the classical Kuga-Satake construction gives rise, away from characteristic 2, to an open immersion from the moduli of primitively polarized K3 surfaces (of any fixed…
Toroidal compactifications of integral models of Shimura varieties of Hodge type
Keerthi Madapusi Pera
We construct projective toroidal compactifications for integral models of Shimura varieties of Hodge type. We also construct integral models of the minimal (Satake-Baily-Borel) com…