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Original Articles

On the Canonical Map of Smooth Surfaces in ℙ4

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Pages 707-713 | Received 01 Sep 2002, Accepted 01 Oct 2002, Published online: 01 Feb 2007

References

  • Braun , R. and Fløystad , R. 1994 . A bound for the degree of smooth surfaces in ℙ4 not of general type . Compositio Math. , 93 : 211 – 229 .
  • Ellingsrud , G. and Peskine , Ch. 1989 . Sur les surfaces lisses de ℙ4 . Invent. Math. , 95 : 1 – 11 .
  • Green , M. 1982 . The canonical ring of a variety of general type . Duke Math. Jour. , 49 : 1087 – 1113 . [CROSSREF]
  • Gruson , L. and Peskine , Ch. 1978 . Genre des courbes de l'espace projectif . L.N.M. , 687 : 31 – 59 .
  • Koelblen , L. 1992 . Surfaces de ℙ4 tracées sur une hypersurface cubique . J. reine u. angew. Math. (Crelle's J.) , 433 : 133 – 141 .
  • Miyaoka , Y. 1977 . On the Chern numbers of surfaces of general type . Invent. Math. , 42 : 225 – 237 .
  • Roth , L. 1937 . On the projective classification of surfaces . Proc. London Math. Soc. , 42 : 142 – 170 .
  • Sommese , A. J. and Van de Ven , A. 1987 . On the adjunction mapping . Math. Ann. , 278 : 593 – 603 .
  • #Communicated by S. Kleiman.

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