On Hodge Structures and Periods -- Part I: Algebraic Aspects
Abstract
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- May 2021
- DOI:
- 10.48550/arXiv.2105.13115
- arXiv:
- arXiv:2105.13115
- Bibcode:
- 2021arXiv210513115I
- Keywords:
-
- Mathematics - Algebraic Geometry;
- 11-xx;
- 14-xx
- E-Print:
- 13 pages