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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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