Tetrahedral curves via graphs and Alexander duality |
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Authors: | Christopher A. Francisco |
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Affiliation: | Department of Mathematics, University of Missouri, Mathematical Sciences Building, Columbia, MO 65203, United States |
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Abstract: | A tetrahedral curve is a (usually nonreduced) curve in P3 defined by an unmixed, height two ideal generated by monomials. We characterize when these curves are arithmetically Cohen-Macaulay by associating a graph with each curve and, using results from combinatorial commutative algebra and Alexander duality, relating the structure of the complementary graph to the Cohen-Macaulay property. |
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Keywords: | 13D02 13C14 14M07 05C38 |
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