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Coherent sheaves on generic compact tori

Misha Verbitsky
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Abstract

Let T be a compact complex torus, dim T>2. We show that the category of coherent sheaves on T is independent of the choice of the complex structure, if this complex structure is generic. The proof is independent of math.AG/0205210, where the same result was proven for K3 surfaces and even-dimensional tori.

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Misha Verbitsky. 2003-10-21. Coherent sheaves on generic compact tori. https://arxiv.org/abs/math/0310329

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