Algebraic shifting of strongly edge decomposable spheres

Details Algebraic shifting of strongly edge decomposable spheres Algebraic shifting of strongly edge decomposable spheres

2007-09-28

arxiv.org/abs/0709.4518v2

Mathematics

Combinatorics

19 pages. Add a few examples in the Introduction. To appear in J. Combin. Theory Ser. A

Scientific paper

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.

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