Normal form for space curves in a double plane

Nadia Chiarli; Silvio Greco; Uwe Nagel

doi:10.1016/j.jpaa.2003.11.013

Normal form for space curves in a double plane

Nadia Chiarli, Silvio Greco, Uwe Nagel

Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

This note is an attempt to relate explicitly the geometric and algebraic properties of a space curve that is contained in some double plane. We show in particular that the minimal generators of the homogeneous ideal of such a curve can be written in a very specific form. As applications we characterize the possible Hartshorne-Rao modules of curves in a double plane and the minimal curves in their even Liaison classes.

Original language	English
Pages (from-to)	45-57
Number of pages	13
Journal	Journal of Pure and Applied Algebra
Volume	190
Issue number	1-3
DOIs	https://doi.org/10.1016/j.jpaa.2003.11.013
State	Published - Jun 1 2004

Bibliographical note

Funding Information:
Partially supported by INDAM-GNSAGA. The authors also gratefully acknowledge partial support by MIUR (NC., SG.) and by a Faculty Summer Research Fellowship from the University of Kentucky (UN), respectively.

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jpaa.2003.11.013

Cite this

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author = "Nadia Chiarli and Silvio Greco and Uwe Nagel",

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AU - Greco, Silvio

AU - Nagel, Uwe

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N2 - This note is an attempt to relate explicitly the geometric and algebraic properties of a space curve that is contained in some double plane. We show in particular that the minimal generators of the homogeneous ideal of such a curve can be written in a very specific form. As applications we characterize the possible Hartshorne-Rao modules of curves in a double plane and the minimal curves in their even Liaison classes.

AB - This note is an attempt to relate explicitly the geometric and algebraic properties of a space curve that is contained in some double plane. We show in particular that the minimal generators of the homogeneous ideal of such a curve can be written in a very specific form. As applications we characterize the possible Hartshorne-Rao modules of curves in a double plane and the minimal curves in their even Liaison classes.

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ER -

Normal form for space curves in a double plane

Abstract

Bibliographical note

ASJC Scopus subject areas

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