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math.AG2005★ 11 cited
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…
math.AG2005★ 1 cited
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…
math.AG2005★ 5 cited
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…