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In this paper, we are interested in the generic initial ideals of \textit{singular} projective curves with respect to the graded lexicographic order. Let $C$ be a \textit{singular} irreducible projective curve of degree $d\geq 5$ with the arithmetic
Externí odkaz:
http://arxiv.org/abs/1108.0045
D.Bayer and D.Mumford introduced the degree complexity of a projective scheme for the given term order as the maximal degree of the reduced Gr\"{o}bner basis. It is well-known that the degree complexity with respect to the graded reverse lexicographi
Externí odkaz:
http://arxiv.org/abs/1008.0978
Publikováno v:
In Journal of Algebra 15 December 2012 372:584-594
Publikováno v:
Journal of Symbolic Computation. 47(5):568-581
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=base_oa_____::8881580585b3232002d402b6e2acf232