Stable pairs on elliptic K3 surfaces

Details Stable pairs on elliptic K3 surfaces Stable pairs on elliptic K3 surfaces

2008-11-26

arxiv.org/abs/0811.4326v2

Mathematics

Algebraic Geometry

shortened version with French summary, to appear in C. R. Acad. Sci. Paris. 6 pages

Scientific paper

We study semistable pairs on elliptic K3 surfaces with a section: we construct a family of moduli spaces of pairs, related by wall crossing phenomena, which can be studied to describe the birational correspondence between moduli spaces of sheaves of rank 2 and Hilbert schemes on the surface. In the 4-dimensional case, this can be used to get the isomorphism between the moduli space and the Hilbert scheme described by Friedman.

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