Dimension formulas for period spaces via motives and species

Autor:	Huber, Annette, Kalck, Martin
Rok vydání:	2024
Předmět:	Mathematics - Number Theory Mathematics - Rings and Algebras Mathematics - Representation Theory
Druh dokumentu:	Working Paper
Popis:	We apply the structure theory of finite dimensional algebras in order to deduce dimension formulas for spaces of period numbers, i.e., complex numbers defined by integrals of algebraic nature. We get a complete and conceptually clear answer in the case of $1$-periods, generalising classical results like Baker's theorem on the logarithms of algebraic numbers and partial results in Huber--W{\"u}stholz \cite{huber-wuestholz}. The application to the case of Mixed Tate Motives (i.e., Multiple Zeta Values) recovers the dimension estimates of Deligne--Goncharov \cite{deligne-goncharov}. Comment: 46 pages. Comments very welcome!
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.21053 Zobrazit plný text záznamu View this record from Arxiv