Minimal free resolution of the associated graded ring of monomial curves of generalized arithmetic sequences |
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| Authors: | Leila Sharifan |
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| Institution: | a Department of Pure Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, 424, Hafez Ave., Tehran 15914, Iran
b Institute for Advanced Studies in Basic Sciences (IASBS), P.O. Box 45195-1159, Zanjan 45195, Iran |
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| Abstract: | Let A(C) be the coordinate ring of a monomial curve C⊆An corresponding to the numerical semigroup S minimally generated by a sequence a0,…,an. In the literature, little is known about the Betti numbers of the corresponding associated graded ring grm(A) with respect to the maximal ideal m of A=A(C). In this paper we characterize the numerical invariants of a minimal free resolution of grm(A) in the case a0,…,an is a generalized arithmetic sequence. |
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| Keywords: | 13A30 13D02 13D40 |
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