Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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A NUMERICAL PROPERTY OF HILBERT FUNCTIONS AND LEX SEGMENT IDEALS

  • Favacchio, Giuseppe (Dipartimento di Matematica e Informatica Universita degli Studi di Catania)
  • Received : 2019.05.31
  • Accepted : 2020.01.31
  • Published : 2020.05.01
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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 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.

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References

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