Hilbert series in the category of trees with contractions

Eric Ramos

doi:10.1007/s00209-020-02690-7

Hilbert series in the category of trees with contractions

Eric Ramos

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

We consider Hilbert series associated to modules over various categories of trees. Using the technology of Sam and Snowden (J Am Math Soc 30(1): 159–203, 2017) we show that these Hilbert series must be algebraic. We then apply these technical theorems to prove facts about certain natural generating functions associated to trees.

Original language	English
Pages (from-to)	1831-1852
Number of pages	22
Journal	Mathematische Zeitschrift
Volume	298
Issue number	3-4
DOIs	https://doi.org/10.1007/s00209-020-02690-7
State	Published - Aug 2021

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Hilbert series in the category of trees with contractions

Abstract

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