Generators for the derivation modules and the relation ideals of certain curves |
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| Authors: | Dilip P Patil Balwant Singh |
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| Institution: | (1) School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, 400005 Bombay, India |
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| Abstract: | LetO be a curve in the affine algebroide-space over a fieldK of characteristic zero. LetD be the module ofK-derivations andP the relation ideal ofO. Generators forD andP are computed in several cases. It is shown in particular that in the case of a monomial curve defined by a sequence ofe positive integers somee−1 of which form an arithmetic sequence, μO ≤ 2e - 3 and μ(P)≤e(e−1)/2. |
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