Gluing and Hilbert functions of monomial curves

Details Gluing and Hilbert functions of monomial curves Gluing and Hilbert functions of monomial curves

2011-07-07

arxiv.org/abs/1107.1328v1

Proc. Amer. Math. Soc. 137 (2009), 2225-2232

Mathematics

Algebraic Geometry

Scientific paper

10.1090/S0002-9939(08)09785-2

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 to construct large families of 1-dimensional Gorenstein local rings associated to monomial curves, which support Rossi's conjecture saying that every Gorenstein local ring has non-decreasing Hilbert function.

Affiliated with

Also associated with

No associations

Rating

Gluing and Hilbert functions of monomial curves does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Gluing and Hilbert functions of monomial curves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gluing and Hilbert functions of monomial curves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-416608