Entropy and flatness in local algebraic dynamics

DOI10.5565/PUBLMAT_57213_12zbMath1302.37059arXiv1109.6438OpenAlexW2088015131MaRDI QIDQ2637445

Nikita Miasnikov, Mahdi Majidi-Zolbanin, Lucien Szpiro

Publication date: 11 February 2014

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.6438

zbMATH Keywords

local entropyHilbert-Kunz multiplicityendomorphism of finite lengthKunz regularitylocal algebraic dynamical systems

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Local structure of morphisms in algebraic geometry: étale, flat, etc. (14B25) Arithmetic and non-Archimedean dynamical systems (37P99) Arithmetic dynamics on general algebraic varieties (37P55)

Related Items

The entropy of semi-independent hyper MV-algebra dynamical systems, Vanishing of local cohomology and set-theoretically Cohen-Macaulay ideals, On the categorical entropy of the Frobenius pushforward functor, Entropy in the category of perfect complexes with cohomology of finite length, Algebraic Entropies for Abelian Groups with Applications to the Structure of Their Endomorphism Rings: A Survey, Equidistribution of preimages over nonarchimedean fields for maps of good reduction, Mathematical models for the effects of hypertension and stress on kidney and their uncertainty, Entropy on normed semigroups (towards a unifying approach to entropy)

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