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ON HODGE STRUCTURES AND PERIODS - PART I: ALGEBRAIC ASPECTS
Keywords:
Hodge structure, periods, motivesDOI:
https://doi.org/10.17654/0972555525008Abstract
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.
Received: August 8, 2024
Accepted: December 20, 2024
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