Arithmetical rank of lexsegment edge ideals

Abstract

Let $I\subset S=K[x_1,...,x_n]$ be a lexsegment edge ideal or the Alexander dual of such an ideal. In both cases it turns out that the arithmetical rank of $I$ is equal to the projective dimension of $S/I.$

References in corpus (3)

• Renormalized effective actions for the O(N) model at next-to-leading order of the 1/N expansion
• The Stanley-Reisner ideals of polygons as set-theoretic complete intersections
• Simplicial ideals, 2-linear ideals and arithmetical rank

Cited by in corpus (3)

• Boij-Söderberg theory: Introduction and survey
• Edge ideals: algebraic and combinatorial properties
• Arithmetical rank of Cohen-Macaulay squarefree monomial ideals of height two