A G ] 9 J an 2 00 1 STRUCTURE OF THE MODULI SPACE OF STABLE SHEAVES ON ELLIPTIC FIBRATIONS

@inproceedings{RUIPREZ2001AG,
  title={A G ] 9 J an 2 00 1 STRUCTURE OF THE MODULI SPACE OF STABLE SHEAVES ON ELLIPTIC FIBRATIONS},
  author={D. HERN{\'A}NDEZ RUIP{\'E}REZ and J. M. Mu{\~n}oz Porras},
  year={2001}
}
Let X → B be an elliptic surface and M(a, b) the moduli space of torsion-free sheaves on X which are stable of relative degree zeero with respect to a polarization of type aH +bμ, H being the section and μ the elliptic fibre (b ≫ 0). We characterize the subscheme of M(a, b) which is isomorphic, via the relative FourierMukai transform, with the relative compactified Simpson Jacobian of the family of those curves D →֒ X which are flat over B. The main result is that this subscheme is a union of… CONTINUE READING

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