Let R = K[x_1, ..., x_n] be a polynomial ring over a field K. Let I = I(G) ⊆ R be the edge ideal of a graph G. We show that I is complete intersection if R/I^l is Cohen– Macaulay for some l ≥ height I. This strengthens the Cowsik–Nori theorem in the case of edge ideals.
Effective Cowsik-Nori theorem for edge ideals
CRUPI, Marilena;RINALDO, GIANCARLO;
2010-01-01
Abstract
Let R = K[x_1, ..., x_n] be a polynomial ring over a field K. Let I = I(G) ⊆ R be the edge ideal of a graph G. We show that I is complete intersection if R/I^l is Cohen– Macaulay for some l ≥ height I. This strengthens the Cowsik–Nori theorem in the case of edge ideals.File in questo prodotto:
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