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arXiv · 1710.09358

A numerical property of Hilbert functions and lex segment ideals

Giuseppe Favacchio
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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.

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Giuseppe Favacchio. 2017-10-25. A numerical property of Hilbert functions and lex segment ideals. https://arxiv.org/abs/1710.09358

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