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arXiv · 2408.11188

Local-global principle for leaf schemes

Hossein Movasati
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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.

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Hossein Movasati. 2024-08-20. Local-global principle for leaf schemes. https://arxiv.org/abs/2408.11188

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