Gorenstein liaison for toric ideals of graphs

2017/12/13 by Constantinescu, Alexandru, Gorla, Elisa · 1 citation
#05C70 #13C40 #13H10 #14M06 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1712.04726

Abstract

A central question in liaison theory asks whether every Cohen-Macaulay, graded ideal of a standard graded K-algebra belongs to the same G-liaison class of a complete intersection. In this paper we answer this question positively for toric ideals defining edge subrings of bipartite graphs.

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• Lifting Frobenius splittings through geometric vertex decomposition

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