Arithmetically Gorenstein curves on arithmetically Cohen-Macaulay surfaces.

Alberto Dolcetti

Collectanea Mathematica (2002)

  • Volume: 53, Issue: 3, page 265-276
  • ISSN: 0010-0757

Abstract

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Let Sigma C PN be a smooth connected arithmetically Cohen-Macaulay surface. Then there are at most finitely many complete linear systems on Sigma, not of the type |kH - K| (H hyperplane section and K canonical divisor on Sigma), containing arithmetically Gorenstein curves.

How to cite

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Dolcetti, Alberto. "Arithmetically Gorenstein curves on arithmetically Cohen-Macaulay surfaces.." Collectanea Mathematica 53.3 (2002): 265-276. <http://eudml.org/doc/42943>.

@article{Dolcetti2002,
abstract = {Let Sigma C PN be a smooth connected arithmetically Cohen-Macaulay surface. Then there are at most finitely many complete linear systems on Sigma, not of the type |kH - K| (H hyperplane section and K canonical divisor on Sigma), containing arithmetically Gorenstein curves.},
author = {Dolcetti, Alberto},
journal = {Collectanea Mathematica},
keywords = {Curvas espaciales; Superficies regladas; Divisores; arithmetically Cohen-Macaulay surface; canonical divisor; arithmetically Gorenstein curves; subcanonical curves},
language = {eng},
number = {3},
pages = {265-276},
title = {Arithmetically Gorenstein curves on arithmetically Cohen-Macaulay surfaces.},
url = {http://eudml.org/doc/42943},
volume = {53},
year = {2002},
}

TY - JOUR
AU - Dolcetti, Alberto
TI - Arithmetically Gorenstein curves on arithmetically Cohen-Macaulay surfaces.
JO - Collectanea Mathematica
PY - 2002
VL - 53
IS - 3
SP - 265
EP - 276
AB - Let Sigma C PN be a smooth connected arithmetically Cohen-Macaulay surface. Then there are at most finitely many complete linear systems on Sigma, not of the type |kH - K| (H hyperplane section and K canonical divisor on Sigma), containing arithmetically Gorenstein curves.
LA - eng
KW - Curvas espaciales; Superficies regladas; Divisores; arithmetically Cohen-Macaulay surface; canonical divisor; arithmetically Gorenstein curves; subcanonical curves
UR - http://eudml.org/doc/42943
ER -

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