# Arithmetically Gorenstein curves on arithmetically Cohen-Macaulay surfaces.

Collectanea Mathematica (2002)

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

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topDolcetti, 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 -