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Coherent sheaves on generic compact tori

2003/10/21 by Misha Verbitsky
Mathematics · #math.AG

paper · pdf

published as CRM Proc. and Lecture Notices vol. 38 (2004), 229-249 · 24 pages

arxiv created 2003/10/21 · arxiv updated 2009/12/01

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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