Geometry of arithmetically Gorenstein curves in P4

• Autores: Robin Hartshorne
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 55, Fasc. 1, 2004, págs. 97-112
• Idioma: inglés
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• Resumen

  • We characterize the postulation character of arithmetically Gorenstein curves in $\mathbb{P}^4$. We give conditions under which the curve can be realized in the form $mH − K$ on some ACM surface. Finally, we complement a theorem of Watanabe by showing that any general arithmetically Gorenstein curve in $\mathbb{P}^4$ with arbitrary fixed postulation character can be obtained from a line by a series of ascending completeintersection biliaisons