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Differential operators on monomial curves
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UNSPECIFIED (2003) Differential operators on monomial curves. JOURNAL OF ALGEBRA, 264 (1). pp. 186-198. doi:10.1016/S0021-8693(03)00144-3 ISSN 0021-8693.
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Official URL: http://dx.doi.org/10.1016/S0021-8693(03)00144-3
Abstract
Let k be an algebraically closed field of characteristic 0, let Gamma subset of or equal to N-0 be a numerical semigroup, and let A = k[Gamma] be the corresponding semigroup algebra. We give an explicit description of the ring D = D(A) of k-linear differential operators on A, the associated graded ring Gr D(A) and the module of derivations Der(k) (A). We also classify all graded D-modules which are finitely generated torsion-free A-modules of rank 1, considered as modules over the sub-ring A subset of or equal to D(A). (C) 2003 Elsevier Science (USA). All rights reserved.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | JOURNAL OF ALGEBRA | ||||
Publisher: | ACADEMIC PRESS INC ELSEVIER SCIENCE | ||||
ISSN: | 0021-8693 | ||||
Official Date: | 1 June 2003 | ||||
Dates: |
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Volume: | 264 | ||||
Number: | 1 | ||||
Number of Pages: | 13 | ||||
Page Range: | pp. 186-198 | ||||
DOI: | 10.1016/S0021-8693(03)00144-3 | ||||
Publication Status: | Published |
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