A numerical property of Hilbert functions and lex segment ideals
- Authors: Favacchio G.
- Publication year: 2020
- Type: Articolo in rivista
- OA Link: http://hdl.handle.net/10447/534030
Abstract
We introduce the fractal expansions, sequences of integers associated to a number. We show that these sequences characterize the Osequences and encode some information about lex segment ideals. Moreover, we introduce numerical functions called fractal functions, and we use them to solve the open problem of the classification of the Hilbert functions of any bigraded algebra.