Bertini theorems and Lefschetz pencils over discrete valuation rings, with applications to higher class field theory

DOI10.1090/S1056-3911-2012-00570-0zbMath1267.14010arXiv0911.1470WikidataQ102060881 ScholiaQ102060881MaRDI QIDQ2913220

Shuji Saito, Uwe Jannsen

Publication date: 26 September 2012

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.1470

zbMATH Keywords

Lefschetz pencildiscrete valuation ringhyperplane sectionBertini theorem

Mathematics Subject Classification ID

Divisors, linear systems, invertible sheaves (14C20) Projective techniques in algebraic geometry (14N05) Pencils, nets, webs in algebraic geometry (14C21)

Related Items (12)

On the relative minimal model program for fourfolds in positive and mixed characteristic ⋮ Bertini theorems revisited ⋮ Specialization of Mordell–Weil ranks of abelian schemes over surfaces to curves ⋮ Minimal model program for semi-stable threefolds in mixed characteristic ⋮ Motivic homology and class field theory over \(p\)-adic fields ⋮ A finiteness theorem for zero-cycles over \(p\)-adic fields ⋮ A local to global principle for higher zero-cycles ⋮ Cohomological Hasse principle and motivic cohomology for arithmetic schemes ⋮ Aspherical neighborhoods on arithmetic surfaces: the local case ⋮ Sums of squares in function fields over Henselian local fields ⋮ The Brauer–Manin pairing, class field theory, and motivic homology ⋮ Rigidity for relative 0-cycles

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