Simplicial Abel-Jacobi maps and reciprocity laws
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Publication:5373843
DOI10.1090/jag/692zbMath1395.14005arXiv1502.05459OpenAlexW2963734710MaRDI QIDQ5373843
Patrick Lopatto, James D. Lewis, Matthew Kerr
Publication date: 27 October 2017
Published in: Journal of Algebraic Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1502.05459
Algebraic cycles (14C25) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35) Integration on analytic sets and spaces, currents (32C30)
Related Items (4)
Chow dilogarithm and strong Suslin reciprocity law ⋮ Regulator maps for higher Chow groups via current transforms ⋮ Semi-algebraic chains on projective varieties and the Abel-Jacobi map for higher Chow cycles ⋮ Lectures on Hodge theory and algebraic cycles
Cites Work
- Algebraic \(K\)-theory of toric hypersurfaces
- On uniqueness of characteristic classes
- Functional equations of the dilogarithm in motivic cohomology
- Abelian functional equations, planar web geometry and polylogarithms
- A regulator formula for Milnor \(K\)-groups
- A remark on the rank conjecture
- Geometry of configurations, polylogarithms, and motivic cohomology
- Chow polylogarithms and regulators
- The Abel-Jacobi map for higher Chow groups. II
- On the periods of certain rational integrals. I, II
- A Feynman integral via higher normal functions
- On Goncharov’s Regulator and Higher Arithmetic Chow Groups
- Polylogarithms, regulators, and Arakelov motivic complexes
- COHOMOLOGICAL ARITHMETIC CHOW RINGS
- Néron models and limits of Abel–Jacobi mappings
- An Elementary Proof of Suslin Reciprocity
- The Abel–Jacobi map for higher Chow groups
- \(\mathbb{A}^1\)-homotopy theory of schemes
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