Singularity of the moduli space of stable bundles on surfaces

Tohru Nakashima

Compositio Mathematica (1996)

  • Volume: 100, Issue: 2, page 125-130
  • ISSN: 0010-437X

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Nakashima, Tohru. "Singularity of the moduli space of stable bundles on surfaces." Compositio Mathematica 100.2 (1996): 125-130. <http://eudml.org/doc/90424>.

@article{Nakashima1996,
author = {Nakashima, Tohru},
journal = {Compositio Mathematica},
keywords = {Gorensteinness of moduli variety; polarization},
language = {eng},
number = {2},
pages = {125-130},
publisher = {Kluwer Academic Publishers},
title = {Singularity of the moduli space of stable bundles on surfaces},
url = {http://eudml.org/doc/90424},
volume = {100},
year = {1996},
}

TY - JOUR
AU - Nakashima, Tohru
TI - Singularity of the moduli space of stable bundles on surfaces
JO - Compositio Mathematica
PY - 1996
PB - Kluwer Academic Publishers
VL - 100
IS - 2
SP - 125
EP - 130
LA - eng
KW - Gorensteinness of moduli variety; polarization
UR - http://eudml.org/doc/90424
ER -

References

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  1. [D] Drezet, J.-M., Groupe de Picard des varietés de modules de faisceaux semi-stables sur P2(C), Ann. Inst. Fourier38 (1988), 105-168. Zbl0616.14006MR976687
  2. [D-N] Drezet, J.-M., Narasimhan, M.S., Groupe de Picard des varietés de modules de fibrés semi-stables sur les courbe algébriques, Invent. Math.97 (1989), 53-94. Zbl0689.14012MR999313
  3. [H] Huybrechts, D., Complete Curves in moduli spaces of stable bundles on surfaces, Math. Ann.298 (1994), 67-78. Zbl0789.14007MR1252817
  4. [LP] Le Potier, J., Fibré déterminant et courbes de saut sur les surfaces algébriques, in "Complex Projective Geometry," Cambridge University Press. 
  5. [L] Li, J., Kodaira dimension of moduli space of vector bundles on surfaces, Invent. Math.115 (1994), 1-40. Zbl0799.14015MR1248077
  6. [Ma] Maruyama, M., Moduli of stable sheaves II, J. Math. Kyoto Univ.18 (1978), 557-614. Zbl0395.14006MR509499
  7. [Mu] Mukai, S., Symplectic structure of the moduli space of sheaves on an abelian or K3 surface, Invent. math.77 (1984), 101-116. Zbl0565.14002MR751133
  8. [O1] O'Grady, K.G., The irreducible components of moduli spaces of vector bundles on surfaces, Invent. Math.112 (1993), 585-613. Zbl0816.14018MR1218325
  9. [O2] O'Grady, K.G., Moduli ofvector bundles on projective surfaces: some basic results, preprint. 

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