Local-global principle for leaf schemes
Algebraic Geometry
2025-02-27 v3 Complex Variables
Number Theory
Abstract
We study Hodge loci as leaf schemes of foliations. The main ingredient is the Gauss-Manin connection matrix of families of projective varieties. We also aim to investigate a conjecture on the ring of definition of leaf schemes and its consequences such as the algebraicity of leaf schemes (Cattani-Deligne-Kaplan theorem in the case of Hodge loci). This conjecture is a consequence of a local-global principle for leaf schemes.
Cite
@article{arxiv.2408.11188,
title = {Local-global principle for leaf schemes},
author = {Hossein Movasati},
journal= {arXiv preprint arXiv:2408.11188},
year = {2025}
}
Comments
The article is now a section of the new long article "Leaf scheme and Hodge Loci"