The \(n\)-motivic \(t\)-structures for \(n=0,1\) and \(2\)

DOI10.1016/j.aim.2010.06.011zbMath1207.14029OpenAlexW2088529232MaRDI QIDQ610667

Joseph Ayoub

Publication date: 10 December 2010

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2010.06.011

zbMATH Keywords

mixed motivesmotivic \(t\)-structuresVoevodsky's motives

Mathematics Subject Classification ID

Abelian categories, Grothendieck categories (18E10) Motivic cohomology; motivic homotopy theory (14F42) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15)

Related Items (7)

Punctual gluing of \(t\)-structures and weight structures ⋮ Artin perverse sheaves ⋮ Triangulated categories of relative 1-motives ⋮ Mixed motives and motivic birational covers ⋮ Nori 1-motives ⋮ \(\mathbb A^1\)-equivalence of zero cycles on surfaces. II ⋮ On weight truncations in the motivic setting

Cites Work

• Isomotives of dimension less than or equal to one
• 1-motivic sheaves and the Albanese functor
• The stable \(\mathbb{A}^1\)-connectivity theorems
• Théorie de Hodge. III
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