Picard schemes of noncommutative bielliptic surfaces

Abstract

We study the nontrivial elements in the Brauer group of a bielliptic surface and show that they can be realized as Azumaya algebras with a simple structure at the generic point of the surface. We go on to study some properties of the noncommutative Picard scheme associated to such an Azumaya algebra.

arXiv commentFinal version. Streamlined the article and included referee remarks