The cone of Hilbert functions in the non-standard graded case

  • Daniel Brinkmann
  • Marianne Merz
Keywords: Artinian modules, Cone of hilbert functions, Graded rings and modules, Lex-segment ideals

Abstract

We describe the cone of Hilbert functions of artinian graded modules finitely generated in degree 0 over the polynomial ring R = k[x, y] with the non-standard grading deg(x) = 1 and deg(y) = n, where n is any natural number.

Published
2012-05-15
Section
Articoli