Stable pairs on elliptic K3 surfaces

@inproceedings{Bernardara2008StablePO,
  title={Stable pairs on elliptic K3 surfaces},
  author={Marcello Bernardara},
  year={2008}
}
  • Marcello Bernardara
  • Published 2008
  • Mathematics
  • Abstract 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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