Tetrahedral curves via graphs and Alexander duality

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A tetrahedral curve is a (usually nonreduced) curve in P^3 defined by an unmixed, height two ideal generated by monomials. We characterize when these curves are arithmetically Cohen-Macaulay by associating a graph to each curve and, using results from combinatorial commutative algebra and Alexander duality, relating the structure of the complementary graph to the Cohen-Macaulay property.
15 pages; minor revisions to v. 1 to improve clarity; to appear in JPAA

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Commutative Algebra, Combinatorics, 13D02; 13C14; 14M07; 05C38

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http://salesiana.dossiersoluciones.com/handle/123456789/129476

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0605588
 http://arxiv.org/abs/math/0605588

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arXiv