Sheaves on abelian surfaces and Strange Duality

Abstract

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.

References in corpus (2)

• On the Cobordism Class of the Hilbert Scheme of a Surface
• The rank-level duality for non-abelian theta functions