a Dipartimento di Matematica, Politecnico di Torino, Torino I-10129, Italy
b Department of Mathematics, University of Kentucky, 715 Patterson Office Tower, Lexington, KY 40506-0027, USA
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.