57 research outputs found
An extension of a theorem of Hartshorne
We extend a classical theorem of Hartshorne concerning the connectedness of the punctured spectrum of a local ring by analyzing the homology groups of a simplicial complex associated with the minimal primes of a local ring
Regularity of Edge Ideals and Their Powers
We survey recent studies on the Castelnuovo-Mumford regularity of edge ideals
of graphs and their powers. Our focus is on bounds and exact values of and the asymptotic linear function , for in terms of combinatorial data of the given graph Comment: 31 pages, 15 figure
Set-theoretic complete intersections in characteristic p
We describe a class of toric varieties which are set-theoretic complete intersections only over fields of one positive characteristic p
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