A Lefschetz theorem for crystalline representations
Algebraic Geometry
2025-08-26 v5
Abstract
As a corollary of nonabelian Hodge theory, Simpson proved a strong Lefschetz theorem for complex polarized variations of Hodge structure. We show an arithmetic analog. Our primary technique is -adic nonabelian Hodge theory. Conditional on certain foundational results in \emph{logarithmic} -adic Hodge theory, we also show a logarithmic analog.
Cite
@article{arxiv.2003.08906,
title = {A Lefschetz theorem for crystalline representations},
author = {Raju Krishnamoorthy and Jinbang Yang and Kang Zuo},
journal= {arXiv preprint arXiv:2003.08906},
year = {2025}
}
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43 pages