Minimal set of generators for the derivation module of certain monomial curves

Patil, DP and Sengupta, I (1999) Minimal set of generators for the derivation module of certain monomial curves. In: Communications in Algebra, 27 (11). pp. 5619-5631.

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Abstract

Let K be a field of characteristic zero and let m(0),..., m(e-1) be a sequence of positive integers. Let C be an algebroid monomial curve in the affine e-space A(K)(e) defined parametrically by X-0 = T-m0,..., Xe-1 = Tme-1 and let A be the coordinate ring of C. In this paper, we assume that some e - 1 terms of m(0),..., m(e-1) form an arithmetic sequence and construct a minimal set of generators for the derivation module Der(K)(A) of A and write an explicit formula for mu (Der(K)(A)).

Item Type:	Journal Article
Publication:	Communications in Algebra
Publisher:	Taylor and Francis Group
Additional Information:	Copyright of this article belongs to Taylor and Francis Group.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	30 Jun 2011 11:13
Last Modified:	30 Jun 2011 11:13
URI:	http://eprints.iisc.ac.in/id/eprint/38668

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