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Normal form for space curves in a double plane

Nadia Chiarli·Silvio Greco·Uwe Nagel]
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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.

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Nadia Chiarli, Silvio Greco, Uwe Nagel]. 2003-11-28. Normal form for space curves in a double plane. https://arxiv.org/abs/math/0311536

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