Finite polynomial cohomology for general varieties

DOI10.1007/s40316-015-0041-7zbMath1403.11052arXiv1405.7527OpenAlexW1507149211WikidataQ59475133 ScholiaQ59475133MaRDI QIDQ505397

Amnon Besser, Sarah Livia Zerbes, David Loeffler

Publication date: 20 January 2017

Published in: Annales Mathématiques du Québec (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.7527

zbMATH Keywords

syntomic cohomologyregulatorsfinite-polynomial cohomology

Mathematics Subject Classification ID

Varieties over finite and local fields (11G25) Polylogarithms and relations with (K)-theory (11G55) (p)-adic cohomology, crystalline cohomology (14F30)

Related Items (6)

Factorization of \(p\)-adic Rankin \(L\)-series ⋮ Diagonal cycles and Euler systems II: The Birch and Swinnerton-Dyer conjecture for Hasse-Weil-Artin $L$-functions ⋮ \({\mathcal{L}}\)-invariants of \(p\)-adically uniformized varieties ⋮ Comparison between rigid and crystalline syntomic cohomology for strictly semistable log schemes with boundary ⋮ The Syntomic Regulator for K2 of Curves with Arbitrary Reduction ⋮ Beilinson-Flach elements and Euler systems II: The Birch-Swinnerton-Dyer conjecture for Hasse-Weil-Artin 𝐿-series

Cites Work

• Syntomic cohomology and \(p\)-adic regulators for varieties over \(p\)-adic fields
• A generalization of Coleman's \(p\)-adic integration theory
• On the syntomic regulator for \(K_1\) of a surface
• Kato's Euler system and rational points on elliptic curves. I: A \(p\)-adic Beilinson formula
• On the crystalline period map
• Diagonal cycles and Euler systems I: A $p$-adic Gross-Zagier formula
• THE RIGID SYNTOMIC RING SPECTRUM
• Beilinson-Flach elements and Euler systems I: Syntomic regulators and 𝑝-adic Rankin 𝐿-series
• Syntomic regulators and \(p\)-adic integration. I: Rigid syntomic regulators
• Syntomic regulators and \(p\)-adic integration. II: \(K_2\) of curves

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