On the rationality of the moduli schemes of vector bundles on curves

E. Ballico; B. Russo

Rendiconti del Seminario Matematico della Università di Padova (1997)

  • Volume: 97, page 23-27
  • ISSN: 0041-8994

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Ballico, E., and Russo, B.. "On the rationality of the moduli schemes of vector bundles on curves." Rendiconti del Seminario Matematico della Università di Padova 97 (1997): 23-27. <http://eudml.org/doc/108427>.

@article{Ballico1997,
author = {Ballico, E., Russo, B.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {moduli of vector bundles; rationality of the fine moduli scheme},
language = {eng},
pages = {23-27},
publisher = {Seminario Matematico of the University of Padua},
title = {On the rationality of the moduli schemes of vector bundles on curves},
url = {http://eudml.org/doc/108427},
volume = {97},
year = {1997},
}

TY - JOUR
AU - Ballico, E.
AU - Russo, B.
TI - On the rationality of the moduli schemes of vector bundles on curves
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1997
PB - Seminario Matematico of the University of Padua
VL - 97
SP - 23
EP - 27
LA - eng
KW - moduli of vector bundles; rationality of the fine moduli scheme
UR - http://eudml.org/doc/108427
ER -

References

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  1. [B] E. Ballico, Stable rationality for the variety of vector bundles on an algebraic curve, J. London Math. Soc., 30 (1984), pp. 21-26. Zbl0512.14032MR760869
  2. [BCSS] A. Beauville - J.-L. Colliot-Thélène - J. Sansuc - P. Swinnerton-Dyer, Varietes stablement rationnelles non rationnelles, Ann. Math., 121 (1985), pp. 283-318. Zbl0589.14042MR786350
  3. [BY] H. Boden - K. Yokogawa, Rationality of moduli spaces of parabolic bundles, preprint. Zbl1023.14025MR1709179
  4. [Do] I.V. Dolgachev, Rationality of fields of invariants, in Algebraic Geometry, Bowdoin (1985), pp. 3-16; Proc. Symposia in Pure Math., 46, part II, Amer. Math. Soc., Providence, R.I. (1987). Zbl0659.14009MR927970
  5. [G] A. Grothendieck, Torsion homologique et sections rationnelles, in Séminaire C. Chevalley, vol. 2, E.N.S., exp. 5 (1958, pp. 5-01, 5-29. 
  6. [Gr] I. Grzegorczyk, On Newstead's conjecture on vector bundles on algebraic curves, Math. Ann., 300 (1994), pp. 521-541. Zbl0808.14021MR1304435
  7. [He] R. Hernandez, Appendix to «On regular and stable ruled surface in P3», in Algebraic Curves and Projective Geometry, Proc. Trento 1988, Lect. Notes in Math., 1389, Springer-Verlag (1989), pp. 16-18. Zbl0694.14016MR1023386
  8. [MN] D. Mumford - P.E. Newstead, Periods of a moduli space of bundles on curves, Amer. J. Math., 90 (1968), pp. 1200-1208. Zbl0174.52902MR234958
  9. [N] P.E. Newstead, Rationality of moduli spaces of stable bundles, Math. Ann., 215 (1975), pp. 251-268; (Correction: 249 (1980), pp. 281-282). Zbl0455.14003MR419447
  10. [Ra] S. Ramanan, The moduli space of vector bundles over an algebraic curve, Math. Ann., 200 (1973), pp. 69-84. Zbl0239.14013MR325615
  11. [Se] J.P. Serre, Espaces fibrés algébriques, in Séminaire C. Chevalley: Anneaux de Chow et Applications, Secrétariat mathématique, Paris (1958). Zbl0098.13101
  12. [S] C.S. Seshandri, Fibrés vectoriels sur les courbes algébriques, Astérisque, 96 (1982). Zbl0517.14008MR699278

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