The equations of space curves on a quadric.

Roberta Di Gennaro; Uwe Nagel

Collectanea Mathematica (2007)

  • Volume: 58, Issue: 1, page 119-130
  • ISSN: 0010-0757

Abstract

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The homogeneous ideals of curves in a double plane have been studied by Chiarli, Greco, Nagel. Completing this work we describe the equations of any curve that is contained in some quadric. As a consequence, we classify the Hartshorne-Rao modules of such curves.

How to cite

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Di Gennaro, Roberta, and Nagel, Uwe. "The equations of space curves on a quadric.." Collectanea Mathematica 58.1 (2007): 119-130. <http://eudml.org/doc/41800>.

@article{DiGennaro2007,
abstract = {The homogeneous ideals of curves in a double plane have been studied by Chiarli, Greco, Nagel. Completing this work we describe the equations of any curve that is contained in some quadric. As a consequence, we classify the Hartshorne-Rao modules of such curves.},
author = {Di Gennaro, Roberta, Nagel, Uwe},
journal = {Collectanea Mathematica},
keywords = {Curvas algebraicas; Curvas espaciales; Cuádricas; Cohomología; quadric surface; Hartshorne-Rao module; space curve; double plane; linkage},
language = {eng},
number = {1},
pages = {119-130},
title = {The equations of space curves on a quadric.},
url = {http://eudml.org/doc/41800},
volume = {58},
year = {2007},
}

TY - JOUR
AU - Di Gennaro, Roberta
AU - Nagel, Uwe
TI - The equations of space curves on a quadric.
JO - Collectanea Mathematica
PY - 2007
VL - 58
IS - 1
SP - 119
EP - 130
AB - The homogeneous ideals of curves in a double plane have been studied by Chiarli, Greco, Nagel. Completing this work we describe the equations of any curve that is contained in some quadric. As a consequence, we classify the Hartshorne-Rao modules of such curves.
LA - eng
KW - Curvas algebraicas; Curvas espaciales; Cuádricas; Cohomología; quadric surface; Hartshorne-Rao module; space curve; double plane; linkage
UR - http://eudml.org/doc/41800
ER -

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