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Artículo
An Effective Criterion for Finite Monodromy of ℓ-Adic Sheaves
(Springer, 2023-02-01)
We provide an effective version of Katz’ criterion for finiteness of the monodromy group of a lisse, pure of weight zero, -adic sheaf on a normal variety over a finite field, depending on the numerical complexity of the sheaf.
Artículo
A rigid local system with monodromy group 2.J2
(Elsevier, 2019-05)
We exhibit a rigid local system of rank six on the affine line in characteristic p = 5 whose arithmetic and geometric monodromy groups are the finite group 2.J2 (J2 the Hall-Janko sporadic group) in one of its two ...
Artículo
Finite monodromy of some families of exponential sums
(Elsevier, 2019-04)
Given a prime p and an integer d > 1, we give a numerical criterion to decide whether the ℓ-adic sheaf associated to the one-parameter exponential sums t 7→P x ψ(xd + tx) over Fp has finite monodromy or not, and work ...