Chow motives without projectivity

DOI10.1112/S0010437X0900414XzbMath1179.14021arXiv0806.3380MaRDI QIDQ3642512

Jörg Wildeshaus

Publication date: 5 November 2009

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.3380

zbMATH Keywords

weight filtrationsChow motivesweight structuresboundary motiveinterior motivegeometrical motivesmotives for modular forms

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Classical real and complex (co)homology in algebraic geometry (14F25) Modular and Shimura varieties (14G35) (p)-adic cohomology, crystalline cohomology (14F30) Motivic cohomology; motivic homotopy theory (14F42) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15)

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Cites Work

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• Chow groups are finite dimensional, in some sense
• Betti realization of Voevodsky motives
• Über die lokale Zetafunktion von Shimuravarietaeten. Monodromiefiltration und verschwindende Zyklen in ungleicher Charakteristik
• \(p\)-adic étale cohomology and crystalline cohomology in the semi-stable reduction case
• Motives for modular forms
• An extension criterion for functors defined on smooth schemes
• Semistable conjecture via \(K\)-theory
• Groupes fondamentaux motiviques de Tate mixte
• Differential graded motives: weight complex, weight filtrations and spectral sequences for realizations; Voevodsky versus Hanamura
• The boundary motive: definition and basic properties
• Idempotent completion of triangulated categories