GLUING AND HILBERT FUNCTIONS OF MONOMIAL CURVES

Date

2009-01-01

Author

Arslan, Feza
METE, PINAR
Sahin, Mesut

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In this article, by using the technique of gluing semigroups, we give infinitely many families of 1-dimensional local rings with non-decreasing Hilbert functions. More significantly, these are local rings whose associated graded rings are not necessarily Cohen-Macaulay. In this sense, we give an effective technique for constructing large families of 1-dimensional Gorenstein local rings associated to monomial curves, which support Rossi's conjecture saying that every Gorenstein local ring has a non-decreasing Hilbert function.

Subject Keywords

Rossi's conjecture, Nice gluing, Semigroup gluing, Numerical semigroup, Monomial curve, Tangent cone, Hilbert function of local ring

URI

https://hdl.handle.net/11511/66317

Journal

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

Collections

Department of Mathematics, Article

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Citation Formats

F. Arslan, P. METE, and M. Sahin, “GLUING AND HILBERT FUNCTIONS OF MONOMIAL CURVES,” PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, pp. 2225–2232, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/66317.