An effective criterion for finite monodromy of \(\ell\)-adic sheaves

DOI10.1007/s10013-022-00603-1arXiv2207.07155OpenAlexW4318769964MaRDI QIDQ6050115

Antonio Rojas-León

Publication date: 18 September 2023

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.07155

zbMATH Keywords

monodromy\(\ell\)-adic cohomology

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Zeta functions and (L)-functions (11S40) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27)

Cites Work

• Unnamed Item
• Rationality of trace and norm \(L\)-functions
• Moment \(L\)-functions, partial \(L\)-functions and partial exponential sums
• Monodromy of Airy and Kloosterman sheaves
• Drinfeld shtukas and Langlands correspondence.
• Rigid local systems with monodromy group the Conway group \(\mathsf{Co}_3\)
• Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116)
• Exponential Sums and Differential Equations. (AM-124)
• Moments, Monodromy, and Perversity. (AM-159)
• Sums of Betti numbers in arbitrary characteristic.
• Quantitative sheaf theory

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