Normal form for space curves in a double plane

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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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Algebraic Geometry, Commutative Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/69400

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0311536
 http://arxiv.org/abs/math/0311536

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arXiv