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Une résolution en singularités toriques simpliciales des singularités-quotient de dimension trois

Nicolas Pouyanne

Annales de la Faculté des sciences de Toulouse : Mathématiques (1992)

  • Volume: 1, Issue: 3, page 363-398
  • ISSN: 0240-2963

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Pouyanne, Nicolas. "Une résolution en singularités toriques simpliciales des singularités-quotient de dimension trois." Annales de la Faculté des sciences de Toulouse : Mathématiques 1.3 (1992): 363-398. <http://eudml.org/doc/73308>.

@article{Pouyanne1992,
author = {Pouyanne, Nicolas},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {singularities of quotient; simplicial toric variety; canonical singularities},
language = {fre},
number = {3},
pages = {363-398},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Une résolution en singularités toriques simpliciales des singularités-quotient de dimension trois},
url = {http://eudml.org/doc/73308},
volume = {1},
year = {1992},
}

TY - JOUR
AU - Pouyanne, Nicolas
TI - Une résolution en singularités toriques simpliciales des singularités-quotient de dimension trois
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1992
PB - UNIVERSITE PAUL SABATIER
VL - 1
IS - 3
SP - 363
EP - 398
LA - fre
KW - singularities of quotient; simplicial toric variety; canonical singularities
UR - http://eudml.org/doc/73308
ER -

References

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  4. [D] Danilov ( V.I.) .— The geometry of toric varieties, Russian Math. Surveys33II (1978), pp. 97-154. Zbl0425.14013MR495499
  5. [II] Ishida ( M.N.) et Iwashita ( N.) .— Canonical cyclic quotient singularities of dimension 3, Advanced Studies in Pure Math.8 (1986), Complex analytic singularities, pp. 135-151. Zbl0627.14002MR894290
  6. [KKMS] Kempf ( G.), Knudsen ( F.), Mumford ( D.) et Saint-Donat ( B.) . - Toroidal embeddings I, Lecture Notes in Math.Springer339 (1973). Zbl0271.14017MR335518
  7. [KM] Kac ( V.) et Watanabe ( K.I.) .- Finite linear groups whose ring of invariants is a complete intersection, Bull. A.M.S.6 (1982). Zbl0483.14002MR640951
  8. [MBD] Miller ( G.A.), Blichfeldt ( H.F.) et Dickson ( L.E.) .— Theory and applications of finite groups, Dover publications inc., New-York (1916). Zbl0098.25103MR123600
  9. [Pr] Prill ( D.) . — Local classification of quotients of complex manifolds by discontinuous groups, Duke Math. J.34 (1967), pp. 375-386. Zbl0179.12301MR210944
  10. [R1] Reid ( M.) .- Canonical 3-folds, Journées de géométrie algébrique d'Angers, A. Beauville, Ed. Sijthoff en Noordhoff, Aalphen aan den Rijn (1980), pp. 273-310. Zbl0451.14014MR605348
  11. [R2] Reid ( M.) .- Minimal models of canonical 3-folds, Advanced Studies in Pure Math.1 (1983), Algebraic varieties and analytic varieties, pp. 131-180. Zbl0558.14028MR715649
  12. [Sl] Slodowy ( P.) .— Der Scheibensatz für algebraische Transformationsgruppen. In: algebraische Transformationsgruppen und Invarianten Theorie, Kraft H., Slodowy P., Springer T. A., Birkhäuser, DMV Seminar, band 13 (1989). Zbl0722.14031MR1044587

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