Bundles of generalized theta functions over abelian surfaces

Details Bundles of generalized theta functions over abelian surfaces Bundles of generalized theta functions over abelian surfaces

2011-06-20

arxiv.org/abs/1106.3890v1

Mathematics

Algebraic Geometry

Scientific paper

We study the bundles of generalized theta functions constructed from moduli spaces of sheaves over abelian surfaces. The splitting type of these bundles is conjecturally expressed in terms of a new class of semihomogeneous bundles. The conjecture is confirmed in degree zero. Fourier-Mukai symmetries of the Verlinde bundles are found, consistently with strange duality. A version of level 1 strange duality is established.

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