Arithmetic quantum local systems over the moduli of curves
Number Theory
2025-01-17 v1 Algebraic Geometry
Abstract
We construct an arithmetic analogue of the quantum local systems on the moduli of curves, and study its basic structure. Such an arithmetic local system gives rise to a uniform way of assigning a Galois cohomology class of the first geometric \'etale cohomology of a smooth proper curve over a number field.
Keywords
Cite
@article{arxiv.2501.09377,
title = {Arithmetic quantum local systems over the moduli of curves},
author = {Gyujin Oh},
journal= {arXiv preprint arXiv:2501.09377},
year = {2025}
}