Resolutions of monomial almost complete intersections and generalizations

摘要

Let S=K[x1,…,xn] be a polynomial ring over a fieldkand let / be a monomial ideal ofS. The main result of this paper is an explicit minimal resolution ofkoverR=S/Iwhen / is a monomial almost complete intersection ideal of S. We also compute an upper bound on the multigraded resolution ofkover a generalization of monomial almost complete intersection ring.