Degenerations of moduli of stable bundles over algebraic curves

Huashi Xia

Compositio Mathematica (1995)

  • Volume: 98, Issue: 3, page 305-330
  • ISSN: 0010-437X

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Xia, Huashi. "Degenerations of moduli of stable bundles over algebraic curves." Compositio Mathematica 98.3 (1995): 305-330. <http://eudml.org/doc/90405>.

@article{Xia1995,
author = {Xia, Huashi},
journal = {Compositio Mathematica},
keywords = {blow-up; blow-down; moduli spaces of vector bundles over a singular curve; Hilbert semistability; bundles with fixed determinant; Hecke transformation},
language = {eng},
number = {3},
pages = {305-330},
publisher = {Kluwer Academic Publishers},
title = {Degenerations of moduli of stable bundles over algebraic curves},
url = {http://eudml.org/doc/90405},
volume = {98},
year = {1995},
}

TY - JOUR
AU - Xia, Huashi
TI - Degenerations of moduli of stable bundles over algebraic curves
JO - Compositio Mathematica
PY - 1995
PB - Kluwer Academic Publishers
VL - 98
IS - 3
SP - 305
EP - 330
LA - eng
KW - blow-up; blow-down; moduli spaces of vector bundles over a singular curve; Hilbert semistability; bundles with fixed determinant; Hecke transformation
UR - http://eudml.org/doc/90405
ER -

References

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  1. 1 Arbarello, E., Comalba, M., Griffiths, P.A. and Harris, J., Geometry of algebraic curves I, Springer-Verlag, 1985. Zbl0559.14017
  2. 2 Bertram, A. and Szenes, A., Hilbert polynomials of moduli spaces of rank two bundles II, Preprint, November 1991. Zbl0798.14004
  3. 3 Drezet, J.-M. and Narasimhan, M.S., Groupe de Picard des variétés de modules de fibrés semi-stables sur les courbes algébriques, Invent. Math.97, 1989. Zbl0689.14012MR999313
  4. 4 Gieseker, D., A degeneration of the moduli space of stable bundles, J. Diff. Geom.19, 1984. Zbl0557.14008MR739786
  5. 5 Gieseker, D. and Morrison, I., Hilbert stability of rank two bundles on curves, J. Diff. Geom.19, 1984. Zbl0573.14005MR739780
  6. 6 Narasimhan, M.S. and Ramanan, S., Moduli of vector bundles on a compact Riemann surface, Ann. Math.89, 1969. Zbl0186.54902MR242185
  7. 7 Narasimhan, M.S. and Ramanan, S., Geometry of Hecke cycles I, C. P. Ramanujam - A Tribute, Springer, Berlin, 1978. Zbl0427.14002MR541029
  8. 8 Newstead, P.E., Introduction to moduli problems and orbit spaces, Tata Lecture Notes, Narosa, 1978. Zbl0411.14003MR546290
  9. 9 Ramanan, S., The moduli spaces of vector bundles over an algebraic curve, Math. Ann.200, 1973. Zbl0239.14013MR325615
  10. 10 Serre, J.P., Espaces fibrés algébriques, Exposé 1, Seminaire Chevalley, 1958. MR120643
  11. 11 Seshadri, C.S., Fibrés vectoriel sur les courbes algébriques, Astérisques96, 1982. Zbl0517.14008MR699278

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