| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4598126 | Journal of Pure and Applied Algebra | 2008 | 12 Pages |
Abstract
A tetrahedral curve is a (usually nonreduced) curve in P3P3 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Christopher A. Francisco,