Symbolic powers of multipartite hypergraphs and Waldschmidt constant

2021/03/11 by Alilooee, A., Banerjee, A.
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2103.06468

Abstract

In this paper, we find a criterion to answer when the second symbolic and ordinary powers of the edge ideal of a 3-partite hypergraph are equal. Also, we give the formula to compute the Waldschmidt constant of the path ideals of a cycle.

Related

• Invariants of the symbolic powers of edge ideals
• Symbolic powers of edge ideals of graphs
• Regularity of Symbolic Powers of Edge Ideals
• Powers of the edge ideals and matchings in hypergraphs
• Upper bounds for the regularity of symbolic powers of certain classes of edge ideals