6533b82efe1ef96bd12933ad

RESEARCH PRODUCT

A numerical property of Hilbert functions and lex segment ideals

Giuseppe Favacchio

subject

13F20 13A15 13D40Settore MAT/02 - AlgebraBigraded algebraLex segment idealMathematics::Commutative AlgebraHilbert functionFOS: MathematicsSettore MAT/03 - GeometriaCommutative Algebra (math.AC)Mathematics - Commutative AlgebraBigraded algebra Hilbert function Lex segment idealBigraded algebra; Hilbert function; Lex segment ideal

description

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.

yearjournalcountryeditionlanguage
2017-10-25
10.4134/jkms.j190380http://hdl.handle.net/10447/534030