| Institution: | (1) Department of Mathematics, East Tennessee State University, 37614 Johnson City, TN, USA;(2) Virginia Bioinformatics Institute, 1880 Pratt Drive, 24061 Blacksburg, VA, USA |
| Abstract: | Given a simplicial complex, it is easy to construct a generic deformation of its Stanley-
Reisner ideal. The main question under investigation in this paper is how to characterize the
simplicial complexes such that their Stanley-Reisner ideals have Cohen-Macaulay generic deformations.
Algorithms are presented to construct such deformations for matroid complexes, shifted
complexes, and tree complexes.AMS Subject Classification: 13P10, 13C14, 52B20, 52B40, 52B22. |
