ON HODGE STRUCTURES AND PERIODS - PART I: ALGEBRAIC ASPECTS
We review Hodge structures, relating filtrations, Galois Theory and Jordan-Holder structures.
The prototypical case of periods of Riemann surfaces is compared with the Galois-Artin framework of algebraic numbers.
A follow up article will address applications to Elementary Particle Physics.
Hodge structure, periods, motives.
Received: August 8, 2024; Accepted: December 20, 2024; Published: March 7, 2025
How to cite this article: Lucian M. Ionescu, On Hodge structures and periods - part I: algebraic aspects, JP Journal of Algebra, Number Theory and Applications 64(2) (2025), 133-150. https://doi.org/10.17654/0972555525008
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
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