11 citations · 20 across the 5 of their papers we have counts for
5 papers
Kuga-Satake Abelian Varieties in Positive Characteristic
Jordan Rizov
Kuga and Satake associate with every polarized complex K3 surface (X,L) a complex abelian variety called the Kuga-Satake abelian variety of (X,L). We use this construction to defin…
Complex Multiplication for K3 Surfaces
Jordan Rizov
In this note we prove analogues of the main theorems of complex multiplication for abelian varieties for K3 surfaces. This is done by studying the field of definition of the period…
Non-Emptiness of the Height Strata of the Moduli Stack of Polarized K3 Surfaces
Jordan Rizov
In this paper we consider the following problem: For a given natural number and a prime determine all Newton polygons of polarized K3 surfaces of degree 2d over fields of c…
Moduli Stacks of Polarized K3 Surfaces in Mixed Characteristic
Jordan Rizov
In this note we define moduli functors of (primitively) polarized K3 spaces. We show that they are representable by Deligne-Mumford stacks over Spec(Z). Further, we look at K3 spac…
Fields of Definition of Rational Points on Varieties
Jordan Rizov
Let be a scheme over a field and let be the intersection of all subfields of such that has a -valued point. In this note we prove that for a varie…