GLUING AND HILBERT FUNCTIONS OF MONOMIAL CURVES


Arslan F., METE P., Sahin M.

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, cilt.137, ss.2225-2232, 2009 (SCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 137 Konu: 7
  • Basım Tarihi: 2009
  • Dergi Adı: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
  • Sayfa Sayıları: ss.2225-2232

Özet

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.