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.
|Number of pages||13|
|Journal||Journal of Pure and Applied Algebra|
|State||Published - Jun 1 2004|
Bibliographical noteFunding 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