Chamber Structure of Polarizations and the Moduli of Stable Sheaves on a Ruled Surface

@inproceedings{Yoshioka1994ChamberSO,
  title={Chamber Structure of Polarizations and the Moduli of Stable Sheaves on a Ruled Surface},
  author={Ota Yoshioka},
  year={1994}
}
  • Ota Yoshioka
  • Published 1994
LetX be a smooth projective surface defined over C andH an ample divisor onX. LetMH(r; c1, c2) be the moduli space of stable sheaves of rank r whose Chern classes (c1, c2) ∈ H (X,Q)×H(X,Q) and MH(r; c1, c2) the Gieseker-Maruyama compactification of MH(r; c1, c2). When r = 2, these spaces are extensively studied by many authors. When r ≥ 3, Drezet and Le-Potier [D1],[D-L] investigated the structure of moduli spaces on P, and Rudakov [R] treated moduli spaces on P×P. In this paper, we shall… CONTINUE READING
Highly Cited
This paper has 37 citations. REVIEW CITATIONS

References

Publications referenced by this paper.
Showing 1-9 of 9 references

Change of polarization and Hodge numbers of moduli spaces of torsion free sheaves on surfaces, MPI

  • L. Gö Göttsche
  • 1994

Equivalence classes of polarizations and moduli spaces of sheaves

  • Z. B. Qin
  • J. Differential Geometry
  • 1993

Moduli of stable sheaves on ruled surfaces and their Picard groups

  • Z. B. Qin
  • J. reine angew. Math
  • 1992

On the diffeomorphism types of certain algebraic surface I

  • R. F-M Friedman, J. Morgan
  • J. Differential Geometry
  • 1988

Fibrés stables et fibrés exceptionnels sur P2

  • D-L Drezet, J.-M, J. Le-Potier
  • Ann. scient. Éc. Norm. Sup., 4e série, t
  • 1985

Cohomology of quotients in symplectic and algebraic geometry

  • F. Kirwan
  • Princeton Math. Notes
  • 1984

On a theorem of Bogomolov on Chern classes of stable bundles, Amer

  • D. Gi Gieseker
  • J. Math
  • 1979

Moduli of stable sheaves II

  • M. Maruyama
  • J. Math. Kyoto Univ
  • 1978

Poincaré polynomials of the variety of stable bundles

  • U. V. D-R Desale, S. Ramanan
  • Math. Ann
  • 1975

Similar Papers

Loading similar papers…