Semi-algebraic chains on projective varieties and the Abel-Jacobi map for higher Chow cycles

DOI10.1090/tran/8422zbMath1481.14090arXiv1907.01699OpenAlexW3159863360MaRDI QIDQ5158092

Ken-Ichiro Kimura

Publication date: 21 October 2021

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.01699

zbMATH Keywords

higher Chow groupsabel-jacobi mapadmissible chains

Mathematics Subject Classification ID

Semialgebraic sets and related spaces (14P10) Algebraic cycles (14C25) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) (Equivariant) Chow groups and rings; motives (14C15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Log complexes of currents and functorial properties of the Abel-Jacobi map
• Mixed Tate motives
• The Abel-Jacobi map for higher Chow groups. II
• On the periods of certain rational integrals. I, II
• Simplicial Abel-Jacobi maps and reciprocity laws
• The Abel–Jacobi map for higher Chow groups

This page was built for publication: Semi-algebraic chains on projective varieties and the Abel-Jacobi map for higher Chow cycles