Duke Mathematical Journal

Espaces de modules de fibrés paraboliques et blocs conformes

Christian Pauly

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Duke Math. J., Volume 84, Number 1 (1996), 217-235.

First available in Project Euclid: 19 February 2004

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Zentralblatt MATH identifier

Primary: 14D20: Algebraic moduli problems, moduli of vector bundles {For analytic moduli problems, see 32G13}
Secondary: 14F05: Sheaves, derived categories of sheaves and related constructions [See also 14H60, 14J60, 18F20, 32Lxx, 46M20] 17B10: Representations, algebraic theory (weights) 81T40: Two-dimensional field theories, conformal field theories, etc.


Pauly, Christian. Espaces de modules de fibrés paraboliques et blocs conformes. Duke Math. J. 84 (1996), no. 1, 217--235. doi:10.1215/S0012-7094-96-08408-2. https://projecteuclid.org/euclid.dmj/1077243634

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  • [B] A. Beauville, Conformal blocks, fusion rules and the Verlinde formula, prépublication, 1994.
  • [BL] A. Beauville and Y. Laszlo, Conformal blocks and generalized theta functions, Comm. Math. Phys. 164 (1994), no. 2, 385–419.
  • [Be] A. Bertram, Generalized $\rm SU(2)$ theta functions, Invent. Math. 113 (1993), no. 2, 351–372.
  • [Bo] R. Bott, Homogeneous vector bundles, Ann. of Math. (2) 66 (1957), 203–248.
  • [DN] J. M. Drézet and M. S. Narasimhan, Groupe de Picard des variétés de modules de fibrés semi-stables sur les courbes algébriques, Invent. Math. 97 (1989), no. 1, 53–94.
  • [GD] A. Grothendieck and J. Dieudonné, Eléments de géométrie algébrique, I, 2nd ed., Grundlehren Math. Wiss., vol. 166, Springer-Verlag, Berlin, 1971.
  • [H] R. Hartshorne, Algebraic geometry, Graduate Texts in Mathematics, vol. 52, Springer-Verlag, New York, 1977.
  • [K] V. Kac, Infinite-dimensional Lie algebras, Cambridge University Press, Cambridge, 1990.
  • [KM] F. Knudsen and D. Mumford, The projectivity of the moduli space of stable curves. I. Preliminaries on “det” and “Div”, Math. Scand. 39 (1976), no. 1, 19–55.
  • [LMB] G. Laumon and L. Moret-Bailly, Champs algébriques, prépublication, Université Paris-Sud, 1992.
  • [MS] V. B. Mehta and C. S. Seshadri, Moduli of vector bundles on curves with parabolic structures, Math. Ann. 248 (1980), no. 3, 205–239.
  • [M] D. Mumford, Abelian varieties, Tata Institute of Fundamental Research Studies in Mathematics, No. 5, Published for the Tata Institute of Fundamental Research, Bombay, 1970.
  • [NR] M. S. Narasimhan and T. R. Ramadas, Factorisation of generalised theta functions. I, Invent. Math. 114 (1993), no. 3, 565–623.
  • [Se] J.-P. Serre, Complex semisimple Lie algebras, Springer-Verlag, New York, 1987.
  • [S] C. S. Seshadri, Fibrés vectoriels sur les courbes algébriques, Astérisque, vol. 96, Société Mathématique de France, Paris, 1982.
  • [TUY] A. Tsuchiya, K. Ueno, and Y. Yamada, Conformal field theory on universal family of stable curves with gauge symmetries, Integrable systems in quantum field theory and statistical mechanics, Adv. Stud. Pure Math., vol. 19, Academic Press, Boston, MA, 1989, pp. 459–566.