Sheaves on abelian surfaces and Strange Duality

Details Sheaves on abelian surfaces and Strange Duality Sheaves on abelian surfaces and Strange Duality

2007-10-03

arxiv.org/abs/0710.0638v1

Mathematics

Algebraic Geometry

Scientific paper

We formulate three versions of a strange duality conjecture for sections of
the Theta bundles on the moduli spaces of sheaves on abelian surfaces. As
supporting evidence, we check the equality of dimensions on dual moduli spaces,
answering a question raised by Gottsche-Nakajima-Yoshioka.

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