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math.AG2024
Local systems which do not come from abelian varieties
Paul Brommer-Wierig, Yeuk Hay Joshua Lam
For each smooth curve over a finite field, after puncturing it at finitely many points, we construct local systems on it of geometric origin which do not come from a family of abel…
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…