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Original Articles

Lines on del pezzo surfaces with in characteristic ≠2

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Pages 1197-1206 | Received 01 Sep 1997, Published online: 27 Jun 2007

References

  • Serre , J.P. . Critère de rationalité pour les surfaces algébriques . Séminaire Bourbaki . Vol. 146 , (d’après K. Kodaira)
  • Zariski , O. 1958 . The problem of minimal models in the theory of algebraic surfaces . Amer. J. Math , 80 : 146 – 184 .
  • Zariski , O. 1958 . On Castelnuovo’s criterion of rationality p a = P 2 = 0 of an algebraic surface . Illinois J. Math , 2 : 303 – 315 .
  • Mumford , D. 1971 . Theta characteristics of an algebraic curve . Ann. sci-ent. É;c. Norm. Sup. 4e série , 4 : 181 – 192 .
  • Bombieri , E. and Husemoller , D. . Classification and embedding of surfaces . Proc. Symp. Pure Math . Vol. 29 , Arcata, 1974
  • Beauville , A. 1975 . Surfaces algébriques complexes . Asterisque , 54
  • Iskowskih , V.A. 1979 . Minimal models of rational surfaces over arbitrary fields . Izv. Akad. Nauk. SSSR , 43 ( 1 ) : 19 – 43 .
  • Demazure , M. . Surfaces de Del Pezzo II, HI, IV, V . Séminaire sur les singularitiés des surfacés Lecture Notes in Math . Vol. 777 , Berlin : Springer .
  • Lang , W.E. 1981 . A short proof of Castelnuovo's criterion of rationality . Trans. Amer. Math. Soc , 264 : 579 – 582 .
  • Suwa , N. 1983 . “ De Rham cohomology of algebraic surfaces with q = -pa in char ” . In p Lecture Notes in Math , Vol. 1016 , 73 – 85 . Berlin : Springer .
  • Cragnolini , P. and Oliverio , P.A. 1990 . On the proof of Castelnuovo’s rationality criterion in positive characteristic . Journal of Pure and Applied Algebra , 68 : 297 – 323 .

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