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 |
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Pages (from-to) | 45-57 |
Number of pages | 13 |
Journal | Journal of Pure and Applied Algebra |
Volume | 190 |
Issue number | 1-3 |
DOIs | |
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