Factorisation de certains morphismes birationnels

Michel Brion

Compositio Mathematica (1994)

  • Volume: 91, Issue: 1, page 57-66
  • ISSN: 0010-437X

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Brion, Michel. "Factorisation de certains morphismes birationnels." Compositio Mathematica 91.1 (1994): 57-66. <http://eudml.org/doc/90282>.

@article{Brion1994,
author = {Brion, Michel},
journal = {Compositio Mathematica},
keywords = {factorization of birational morphisms; singularities of invariant irreducible subvarieties; invariant subvariety; spherical variety; blow- up; exceptional divisor},
language = {fre},
number = {1},
pages = {57-66},
publisher = {Kluwer Academic Publishers},
title = {Factorisation de certains morphismes birationnels},
url = {http://eudml.org/doc/90282},
volume = {91},
year = {1994},
}

TY - JOUR
AU - Brion, Michel
TI - Factorisation de certains morphismes birationnels
JO - Compositio Mathematica
PY - 1994
PB - Kluwer Academic Publishers
VL - 91
IS - 1
SP - 57
EP - 66
LA - fre
KW - factorization of birational morphisms; singularities of invariant irreducible subvarieties; invariant subvariety; spherical variety; blow- up; exceptional divisor
UR - http://eudml.org/doc/90282
ER -

References

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  1. [Bo] N. Bourbaki, Groupes et algèbres de Lie, Chap. VIII, C.C.L.S., Paris, 1975. 
  2. [BLV] M. Brion, D. Luna, and T. Vust, Espaces homogènes sphériques, Invent. Math.84 (1986) 617-632. Zbl0604.14047MR837530
  3. [BP] M. Brion and F. Pauer, Valuations des espaces homogènes sphériques, Comment. Math. Helv.62 (1987) 265-285. Zbl0627.14038MR896097
  4. [B1] M. Brion, Sur l'image de l'application moment, dans: Séminaire d'algèbre (M. P. Malliavin, ed.) 177-192, Lecture Note in Math. 1296, Springer-Verlag, 1987. Zbl0667.58012MR932055
  5. [B2] M. Brion, Groupe de Picard et nombres caractéristiques des variétés sphériques, Duke Math. J.58(2) (1989) 397-424. Zbl0701.14052MR1016427
  6. [E] L. Ein, Varieties with small dual varieties I, Invent. Math.86 (1986) 63 - 74. Zbl0603.14025MR853445
  7. [Ki] F. Kirwan, Cohomology of quotients in symplectic and algebraic geometry, Mathematical Note 31, Princeton University Press, 1984. Zbl0553.14020MR766741
  8. [Kn] F. Knop, The Luna-Vust theory of spherical embeddings, Proceedings of the Hyderabad conference on algebraic groups (S. Ramanan, ed.), 225-249, Manoj Prakashan, 1991. Zbl0812.20023MR1131314
  9. [L] D. Luna, Slices étales, Mémoire de la S.M.F.33 (1973), 81-105. Zbl0286.14014MR342523
  10. [O] T. Oda, Convex bodies and algebraic geometry (An introduction to the theory of toric varieties), Ergebnisse der Math. 15, Springer-Verlag, 1988. Zbl0628.52002MR922894
  11. [SK] M. Sato and T. Kimura, A classification of irreducible prehomogeneous vector spaces and their relative invariants, Nagoya Math. J.65 (1977), 1-155. Zbl0321.14030MR430336
  12. [Sn] D. Snow, The nef value and defect of homogeneous line bundles, à paraître. Zbl0808.14042
  13. [St] M. Steinsieck, Transformation groups on homogeneous-rational manifolds, Math. Ann.260 (1982) 423-435. Zbl0503.32017MR670191

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