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Picard schemes of noncommutative bielliptic surfaces (2204.13646v2)
Published 28 Apr 2022 in math.AG
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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