A tour of theta dualities on moduli spaces of sheaves

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

The purpose of this paper is twofold. First, we survey known results about
theta dualities on moduli spaces of sheaves on curves and surfaces. Secondly,
we establish new such dualities in the surface case. Among others, the case of
elliptic K3 surfaces is studied in detail; we propose further conjectures which
are shown to imply strange duality.

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