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arXiv · 2204.13646

Picard schemes of noncommutative bielliptic surfaces

Fabian Reede
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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.

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Fabian Reede. 2022-04-28. Picard schemes of noncommutative bielliptic surfaces. https://doi.org/10.1007/s12188-023-00265-x

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