scientific article; zbMATH DE number 1444649

zbMath0966.14014arXivmath/9908093MaRDI QIDQ4953646

Masanori Asakura

Publication date: 22 June 2000

Full work available at URL: https://arxiv.org/abs/math/9908093

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zbMATH Keywords

higher Chow groupsAlbanese mapmixed Hodge structurescategory of mixed motivesexact faithful functor

Mathematics Subject Classification ID

Sheaves of differential operators and their modules, (D)-modules (32C38) de Rham cohomology and algebraic geometry (14F40) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) (Equivariant) Chow groups and rings; motives (14C15) Motivic cohomology; motivic homotopy theory (14F42)

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Nonvanishing of external products for higher Chow groups ⋮ SINGULARITIES OF THE BIEXTENSION METRIC FOR FAMILIES OF ABELIAN VARIETIES ⋮ The complexity of higher Chow groups ⋮ The Abel-Jacobi map for higher Chow groups. II ⋮ Chern invariants of some flat bundles in the arithmetic Deligne cohomology ⋮ Indecomposable cycles and arithmetic normal functions ⋮ Filtrations on Chow groups and transcendence degree ⋮ Tangents to Chow groups: on a question of Green-Griffiths ⋮ Arithmetic normal functions and filtrations on Chow groups

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