A numerical property of Hilbert functions and lex segment ideals
Commutative Algebra
2018-04-05 v3
Abstract
We introduce the fractal expansions, sequences of integers associated to a number. We show that these sequences characterize the O-sequences and encode some information on lex segment ideals. Moreover, we introduce a numerical functions called fractal functions, and we show that fractal functions can be used to classify the Hilbert functions of bigraded algebras.
Keywords
Cite
@article{arxiv.1710.09358,
title = {A numerical property of Hilbert functions and lex segment ideals},
author = {Giuseppe Favacchio},
journal= {arXiv preprint arXiv:1710.09358},
year = {2018}
}