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math.AG2025
A Lefschetz theorem for crystalline representations
Raju Krishnamoorthy, Jinbang Yang, Kang Zuo
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…
math.AG2024
Constructing abelian varieties from rank 3 Galois representations with real trace field
Raju Krishnamoorthy, Yeuk Hay Joshua Lam
Let be a smooth affine curve over a number field and let be an irreducible rank 3 -local system on with trivial determinant and infinite…