Wild ramification and restrictions to curves

DOI10.1142/S0129167X18500520zbMath1436.11071arXiv1611.07642OpenAlexW2551622637MaRDI QIDQ4577834

Hiroki Kato

Publication date: 3 August 2018

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

Full work available at URL: https://arxiv.org/abs/1611.07642

zbMATH Keywords

étale cohomologySwan conductorwild ramificationrestrictions to curve

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Local ground fields in algebraic geometry (14G20) Varieties over finite and local fields (11G25) Positive characteristic ground fields in algebraic geometry (14G17) Sheaves in algebraic geometry (14F06)

Related Items (3)

Having the same wild ramification is preserved by the direct image ⋮ Wild ramification, nearby cycle complexes, and characteristic cycles of \(\ell\)-adic sheaves ⋮ \( \ell \)-independence of the trace of local monodromy in a relative case

Cites Work

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• The characteristic cycle and the singular support of a constructible sheaf
• On different notions of tameness in arithmetic geometry
• Representations of reductive groups over finite fields
• Desingularization of two-dimensional schemes
• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
• Wild ramification determines the characteristic cycle
• Théorie de Brauer et conducteur de Swan

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