Algebraic shifting of strongly edge decomposable spheres
Combinatorics
2009-06-02 v2 Commutative Algebra
Abstract
Recently, Nevo introduced the notion of strongly edge decomposable spheres. In this paper, we characterize the algebraic shifted complex of those spheres. Algebraically, this result yields the characterization of the generic initial ideal of the Stanley--Reisner ideal of Gorenstein* complexes having the strong Lefschetz property in characteristic 0.
Cite
@article{arxiv.0709.4518,
title = {Algebraic shifting of strongly edge decomposable spheres},
author = {Satoshi Murai},
journal= {arXiv preprint arXiv:0709.4518},
year = {2009}
}
Comments
19 pages. Add a few examples in the Introduction. To appear in J. Combin. Theory Ser. A