The genus of space curves

@article{Hartshorne1994TheGO,
  title={The genus of space curves},
  author={R. Hartshorne},
  journal={Annali dell’Universit{\`a} di Ferrara},
  year={1994},
  volume={40},
  pages={207-223}
}
  • R. Hartshorne
  • Published 1994
  • Mathematics
  • Annali dell’Università di Ferrara
  • SuntoSi dimostra che seC⊃ℙk3 (k di caratteristica qualunque) é una curva, non piana, localmente Cohen-Macaulay, di gradod, allorapa (C)≤((d−2)(d−3))/2. Si mostra che questa limitazione è ottimale, e si classificano le curve di genere aritmetico massimale.AbstractLetC be a curve contained in ℙk3 (k of any characteristic), which is locally Cohen-Macaulay, not contained in a plane and of degreed. We prove thatpa(C)≤≤((d−2)(d−3))/2. Moreover we show existence of curves with anyd, pa satisfying this… CONTINUE READING
    108 Citations

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