ℤ[1/p]-motivic resolution of singularities

DOI10.1112/S0010437X11005410zbMath1230.14013arXiv1002.2651MaRDI QIDQ3094096

Mikhail Vladimirovich Bondarko

Publication date: 21 October 2011

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

Full work available at URL: https://arxiv.org/abs/1002.2651

zbMATH Keywords

resolution of singularitiescohomologytriangulated categoriesmotivesweight structuresalterations

Mathematics Subject Classification ID

Torsion theories, radicals (18E40) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Étale and other Grothendieck topologies and (co)homologies (14F20) Algebraic cycles (14C25) (Equivariant) Chow groups and rings; motives (14C15) Motivic cohomology; motivic homotopy theory (14F42) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15) Grothendieck groups, (K)-theory and commutative rings (13D15) Positive characteristic ground fields in algebraic geometry (14G17)

Related Items (20)

Hodge realization of Voevodsky motives ⋮ Intermediate extension of Chow motives of abelian type ⋮ Dimensional homotopy t-structures in motivic homotopy theory ⋮ Smooth weight structures and birationality filtrations on motivic categories ⋮ The Gysin triangle via localization and 𝐴¹-homotopy invariance ⋮ Noncommutative motives in positive characteristic and their applications ⋮ On the mixed Tate property and the motivic class of the classifying stack of a finite group ⋮ Some Observations About Motivic Tensor Triangulated Geometry over a Finite Field ⋮ On Chow-weight homology of motivic complexes and its relation to motivic homology ⋮ On the invertibility of motives of affine quadrics ⋮ On the weight lifting property for localizations of triangulated categories ⋮ On weight complexes, pure functors, and detecting weights ⋮ On Chow weight structures for $cdh$-motives with integral coefficients ⋮ A Nullstellensatz for triangulated categories ⋮ On Chow weight structures without projectivity and resolution of singularities ⋮ Motivic Springer theory ⋮ On infinite effectivity of motivic spectra and the vanishing of their motives ⋮ Theorem of the heart in negative \(K\)-theory for weight structures ⋮ Mixed motivic sheaves (and weights for them) exist if ‘ordinary’ mixed motives do ⋮ On Chow-weight homology of geometric motives

Cites Work

• Compact corigid objects in triangulated categories and co-\(t\)-structures
• Motivic weight complexes for arithmetic varieties
• Weight structures vs.t-structures; weight filtrations, spectral sequences, and complexes (for motives and in general)
• Chow motives without projectivity
• Differential graded motives: weight complex, weight filtrations and spectral sequences for realizations; Voevodsky versus Hanamura
• The slice filtration and mixed Tate motives

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