Curves in the double plane

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We study locally Cohen-Macaulay curves in projective three-space which are contained in a double plane 2H, thus completing the classification of curves lying on surfaces of degree two. We describe the irreducible components of the Hilbert schemes of locally Cohen-Macaulay curves in 2H of given degree and arithmetic genus. We show that these Hilbert schemes are connected. We also discuss the Rao modules of these curves, and liaison and biliaison equivalence classes.
20 pages

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Algebraic Geometry, 14H50,14H10,14C05

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http://salesiana.dossiersoluciones.com/handle/123456789/78750

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9906209
 http://arxiv.org/abs/math/9906209

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arXiv