Un résultat sur les faces du cône des 1-cycles effectifs

X. Benveniste

Compositio Mathematica (1986)

  • Volume: 60, Issue: 2, page 187-208
  • ISSN: 0010-437X

How to cite


Benveniste, X.. "Un résultat sur les faces du cône des 1-cycles effectifs." Compositio Mathematica 60.2 (1986): 187-208. <http://eudml.org/doc/89804>.

author = {Benveniste, X.},
journal = {Compositio Mathematica},
keywords = {canonical singularities; ample divisor; effective 1-cycles},
language = {fre},
number = {2},
pages = {187-208},
publisher = {Martinus Nijhoff Publishers},
title = {Un résultat sur les faces du cône des 1-cycles effectifs},
url = {http://eudml.org/doc/89804},
volume = {60},
year = {1986},

AU - Benveniste, X.
TI - Un résultat sur les faces du cône des 1-cycles effectifs
JO - Compositio Mathematica
PY - 1986
PB - Martinus Nijhoff Publishers
VL - 60
IS - 2
SP - 187
EP - 208
LA - fre
KW - canonical singularities; ample divisor; effective 1-cycles
UR - http://eudml.org/doc/89804
ER -


  1. [B] X. Benveniste: Sur l'anneau canonique de certaines variétés de dimension 3. Inv. Math.73 (1983) 153-164. Zbl0539.14025MR707354
  2. [B-1] X. Benveniste: Sur le cône des 1-cycles effectifs en dimension 3. Math. Ann.272 (1985) 257-265. Zbl0589.14037MR796252
  3. [B-2] X. Benveniste: Sur la décomposition de Zariski en dimension 3. Note aux C.R.A.S. t 295 (20 Sept 1982), Série I107-110. Zbl0524.14008MR676375
  4. [Ha] R. Hartshorne: Algebraic Geometry. G.T.M. 52. Springer Verlag (1977). Zbl0367.14001MR463157
  5. [Hi] H. Hironaka: Resolution of an algebraic variety over a field of characteristic zero (I, II). Anals of Math.79 (1964) 109-326. Zbl0122.38603MR199184
  6. [H-W] G.H. Hardy and E.M. Wright: An introduction to the theory of numbers5th edition, Clarendon: Oxford (1979). Zbl0020.29201MR568909
  7. [K] Y. Kawamata: A generalisation of Kodaira-Ramanujam's vanishing theorem. Math. Ann.261 (1983) 43-46. Zbl0476.14007MR675204
  8. [K-1] Y. Kawamata: The cone of curves of algebraic varieties. Ann. of Math.119 (1984) 603-633. Zbl0544.14009MR744865
  9. [K-2] Y. Kawamata: Pluricanonical systems on minimal algebraic varieties. Inv. Math.79 (1985) 567-588. Zbl0593.14010MR782236
  10. [Ko] J. Kollar: The cone theorem. Ann. of Math.120 (1984) 1-5. Zbl0544.14010MR750714
  11. [R] M. Reid: Canonical 3-folds. In: Géometrie Algébrique, Angers1979, pp. 273-310, A. Beauville (éditeur) SijthoffNoordhoff (1980). Zbl0451.14014MR605348
  12. [R-1] M. Reid: Minimal models of canonical 3-folds. In: Symposia in Math. Vol. 1, S. Iitaka et H. Morikawa (éditeurs). Kinokuniya-North Holland (1981). Zbl0558.14028MR715649
  13. [Ro] R.T. Rockafellar: Convex Analysis: Princeton University Press no. 28 (1970). Zbl0193.18401MR274683
  14. [S] V.V. Shokurov: Non vanishing theorem. Izv. An. SSSR. (à paraître). Zbl0605.14006
  15. [V] E. Viehweg: Vanishing theorems. J. reine angew. Math.335 (1982) 1-8. Zbl0485.32019MR667459

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