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Back to Algebraic Geometry Seminar: Spring 2009

Algebraic Geometry Seminar


Date: Tuesday, Feb 17, 2009

Time: 3:30PM - 4:30PM

Location: LCB 215


Marcello Bernardara

Universität Bonn

Title

Stable pairs on elliptic K3 surfaces

Abstract

We consider a smooth K3 elliptic surface S with a section and we investigate the behaviour of moduli spaces of pairs on it. For a suitable choice of the framing, we get a finite family of moduli spaces related by wall crossing phenomena giving rise to birational maps. In a particular case, this allows to recover an isomorphism (described by Friedman with different techniques) between a moduli space of rank two coherent sheaves on S and the Hilbert scheme.

Algebraic Geometry

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