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math.AC2023★ 2 cited
Three invariants of geometrically vertex decomposable ideals
Thai Thanh Nguyen, Jenna Rajchgot, Adam Van Tuyl
We study three invariants of geometrically vertex decomposable ideals: the Castelnuovo-Mumford regularity, the multiplicity, and the -invariant. We show that these invariants ca…
math.AG2023★ 1 cited
Gröbner geometry for regular nilpotent Hessenberg Schubert cells
Mike Cummings, Sergio Da Silva, Megumi Harada +1
A regular nilpotent Hessenberg Schubert cell is the intersection of a regular nilpotent Hessenberg variety with a Schubert cell. In this paper, we describe a set of minimal generat…