The Hyodo-Kato structure for curves

zbMath0874.14014MaRDI QIDQ1915418

Bernard Le Stum

Publication date: 15 July 1996

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1995__94__279_0

zbMATH Keywords

monodromy\(p\)-adic numbersweight filtrationFrobeniusanalytic cyclesfirst cohomology spaceHyodo-Kato structurenon singular curve

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Étale and other Grothendieck topologies and (co)homologies (14F20) Local ground fields in algebraic geometry (14G20)

Related Items

The Frobenius and monodromy operators for curves and abelian varieties ⋮ \(p\)-adic Tate conjectures and abeloid varieties ⋮ The Cech filtration and monodromy in log crystalline cohomology ⋮ On the \((K_0,\varphi,N)\)-structures attached to Mumford curves ⋮ The Syntomic Regulator for K2 of Curves with Arbitrary Reduction

Cites Work

• Stable reduction and uniformization of abelian varieties. I
• Dilogarithms, regulators and \(p\)-adic \(L\)-functions
• \(p\)-adic regulators on curves and special values of \(p\)-adic \(L\)-functions
• \(L\)-functions associated to overconvergent \(F\)-isocrystals
• Open analytic sets of an algebraic curve in rigid geometry
• Filtration by weight on the de Rham cohomology of a projective non singular curve over an ultrametric complete field
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