Height pairing on higher cycles and mixed Hodge structures

DOI10.1112/plms.12443zbMath1520.14011arXiv2007.06036OpenAlexW3041124281MaRDI QIDQ6051515

Souvik Goswami, José Ignacio Burgos Gil, Gregory J. Pearlstein

Publication date: 20 September 2023

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.06036

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Algebraic cycles (14C25) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Higher arithmetic Chow groups
• Variation of mixed Hodge structure. I
• Singular Bott-Chern classes and the arithmetic Grothendieck Riemann Roch theorem for closed immersions
• Algebraic cycles and higher K-theory
• A study of variation of mixed Hodge structure
• Higher Bott-Chern forms and Beilinson's regulator
• Duality of mixed Hodge structures of algebraic varieties
• Arithmetic intersection theory
• Biextensions and heights associated to curves of odd genus
• Hyperrésolutions cubiques et descente cohomologique. (La plupart des exposés d'un séminaire sur la théorie de Hodge-Deligne, Barcelona (Spain), 1982)
• Green forms and their product.
• Variation of Hodge structure: The singularities of the period mapping
• Variations of mixed Hodge structure, Higgs fields, and quantum cohomology
• Higher arithmetic intersection theory
• Degeneration of Hodge structures
• Asymptotics of degenerations of mixed Hodge structures
• Jumps in the Archimedean height
• \(\text{SL}_2\)-orbits and degenerations of mixed Hodge structure
• De Rham cohomology of an analytic space
• Residues and principal values on complex spaces
• The Regulators of Beilinson and Borel
• A Feynman integral via higher normal functions
• COHOMOLOGICAL ARITHMETIC CHOW RINGS
• SINGULARITIES OF THE BIEXTENSION METRIC FOR FAMILIES OF ABELIAN VARIETIES
• Nilpotent cones and their representation theory
• Higher Picard varieties and the height pairing
• Mixed Hodge Structures

This page was built for publication: Height pairing on higher cycles and mixed Hodge structures