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Monomial curve families supporting Rossi's conjecture

Arslan, Feza; Sipahi, Neslihan; Sahin, Nil


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        "affiliation": "Mimar Sinan Fine Arts Univ, Dept Math, TR-34380 Istanbul, Turkey", 
        "name": "Arslan, Feza"
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        "affiliation": "Middle E Tech Univ, Dept Math, TR-06531 Ankara, Turkey", 
        "name": "Sipahi, Neslihan"
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        "affiliation": "Middle E Tech Univ, Dept Math, TR-06531 Ankara, Turkey", 
        "name": "Sahin, Nil"
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    "description": "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.", 
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