Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Explicit Derived Equivalence of Azumaya Algebras on K3 Surfaces via
  Koszul Duality   We consider moduli spaces of Azumaya algebras on K3 surfaces and construct an
example. In some cases we show a derived equivalence which corresponds to a
derived equivalence between twisted sheaves. We prove if $A$ and $A'$ are
Morita equivalent Azumaya algebras of degree $r$ then $2r$ divides $c_2(A) -
c_2(A')$. In particular this implies that if $A$ is an Azumaya algebra on a K3
surface and $c_2(A)$ is within $2r$ of its minimal bound then the moduli stack
of Azumaya algebras with the same underlying gerbe, if non empty, is a proper
algebraic space.

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The categories of this paper are: physics
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org