Linearization of group stack actions and the Picard group of the moduli of S L r / μ s -bundles on a curve

Yves Laszlo

Bulletin de la Société Mathématique de France (1997)

  • Volume: 125, Issue: 4, page 529-545
  • ISSN: 0037-9484

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Laszlo, Yves. "Linearization of group stack actions and the Picard group of the moduli of $SL_r/\mu _s$-bundles on a curve." Bulletin de la Société Mathématique de France 125.4 (1997): 529-545. <http://eudml.org/doc/87774>.

@article{Laszlo1997,
author = {Laszlo, Yves},
journal = {Bulletin de la Société Mathématique de France},
keywords = {linearization; morphisms of algebraic stacks; Picard group; torsors; moduli stack on an algebraic curve},
language = {eng},
number = {4},
pages = {529-545},
publisher = {Société mathématique de France},
title = {Linearization of group stack actions and the Picard group of the moduli of $SL_r/\mu _s$-bundles on a curve},
url = {http://eudml.org/doc/87774},
volume = {125},
year = {1997},
}

TY - JOUR
AU - Laszlo, Yves
TI - Linearization of group stack actions and the Picard group of the moduli of $SL_r/\mu _s$-bundles on a curve
JO - Bulletin de la Société Mathématique de France
PY - 1997
PB - Société mathématique de France
VL - 125
IS - 4
SP - 529
EP - 545
LA - eng
KW - linearization; morphisms of algebraic stacks; Picard group; torsors; moduli stack on an algebraic curve
UR - http://eudml.org/doc/87774
ER -

References

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  1. [B-L-S] BEAUVILLE (A.), LASZLO (Y.), SORGER (C.). — The Picard group of the moduli of G-bundles on a curve, preprint alg-geom/9608002, to appear in Compositio Math. Zbl0976.14024
  2. [Br] BREEN (L.). — Bitorseurs et cohomologie non abélienne, in ‘The Grothendieck Festschrift I’, Progr. Math., Birkhäuser, t. 86, 1990, p. 401-476. Zbl0743.14034MR92m:18019
  3. [De] DELIGNE (P.). — Théorie de Hodge III, Publ. Math. IHES, t. 44, 1974, p. 5-78. Zbl0237.14003MR58 #16653b
  4. [Fa] FALTINGS (G.). — Stable G-bundles and Projective Connections, JAG, t. 2, 1993, p. 507-568. Zbl0790.14019MR94i:14015
  5. [Gr] GROTHENDIECK (A.). — Géométrie formelle et géométrie algébrique, FGA, Sém. Bourbaki, t. 182, 1958/1959, p. 1-25. Zbl0229.14005
  6. [L-M] LAUMON (G.), MORET-BAILLY (L.). — Champs algébriques, preprint Université Paris-Sud, 1992. 
  7. [L-S] LASZLO (Y.), SORGER (C.). — The line bundles on the moduli of parabolic G-bundles over curves and their sections, Ann. École Normale Supérieure, 4e série, t. 30, 1997, p. 499-525. Zbl0918.14004MR98f:14007
  8. [McL] MAC LANE (S.). — Categories for the working mathematician, GTM, Springer-Verlag, t. 5, 1971. Zbl0232.18001MR50 #7275

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