Strange duality on K3 surfaces -- Dragos Oprea, April 9, 2010

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We consider moduli spaces of semistable sheaves on an elliptically fibered
K3 surface, so that the first Chern class of the sheaves is a numerical
section. For pairs of complementary such moduli spaces subject to numerical
restrictions, we establish the strange duality isomorphism on sections of
theta line bundles. We will also present applications to Brill-Noether
theory for sheaves on a K3.