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Arslan, Feza; Sipahi, Neslihan; Sahin, Nil
{ "DOI": "10.1016/j.jsc.2013.03.002", "abstract": "In this article, we give a constructive method to form infinitely many families of monomial curves in affine 4-space with corresponding Gorenstein local rings in embedding dimension 4 supporting Rossi's conjecture. Starting with any monomial curve in affine 2-space, we obtain large families of Gorenstein local rings with embedding dimension 4, having non-decreasing Hilbert functions, although their associated graded rings are not Cohen-Macaulay. (C) 2013 Elsevier B.V. All rights reserved.", "author": [ { "family": "Arslan", "given": " Feza" }, { "family": "Sipahi", "given": " Neslihan" }, { "family": "Sahin", "given": " Nil" } ], "container_title": "JOURNAL OF SYMBOLIC COMPUTATION", "id": "12177", "issued": { "date-parts": [ [ 2013, 1, 1 ] ] }, "page": "10-18", "title": "Monomial curve families supporting Rossi's conjecture", "type": "article-journal", "volume": "55" }
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