Coherent sheaves on generic compact tori

Details Coherent sheaves on generic compact tori Coherent sheaves on generic compact tori

2003-10-21

arxiv.org/abs/math/0310329v1

CRM Proc. and Lecture Notices vol. 38 (2004), 229-249

Mathematics

Algebraic Geometry

24 pages

Scientific paper

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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