Biextensions and heights associated to curves of odd genus

DOI10.1215/S0012-7094-90-06133-2zbMath0737.14005OpenAlexW2071687812MaRDI QIDQ1173826

Richard M. Hain

Publication date: 25 June 1992

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-90-06133-2

zbMATH Keywords

Arakelov theorybiextensionsvariations of mixed Hodge structureintersection pairing

Mathematics Subject Classification ID

Variation of Hodge structures (algebro-geometric aspects) (14D07) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Curves in algebraic geometry (14H99)

Related Items (15)

\(\mathbb{C}^*\)-extensions of tori, higher Chow groups and applications to incidence equivalence relations for algebraic cycles ⋮ SINGULARITIES OF THE BIEXTENSION METRIC FOR FAMILIES OF ABELIAN VARIETIES ⋮ Chern-Weil theory for line bundles with the family Arakelov metric ⋮ Height pairing on higher cycles and mixed Hodge structures ⋮ The exchange graph and variations of the ratio of the two Symanzik polynomials ⋮ Mini-workshop: Quantization of complex symplectic varieties. Abstracts from the mini-workshop held October 2--8, 2022 ⋮ Complex analytic Néron models for arbitrary families of intermediate Jacobians ⋮ Heights on curves and limits of Hodge structures ⋮ Jumps in the height of the Ceresa cycle ⋮ Néron models and the height jump divisor ⋮ Higher arithmetic intersection theory ⋮ Asymptotics of degenerations of mixed Hodge structures ⋮ Normal functions and the height of Gross-Schoen cycles ⋮ Jumps in the Archimedean height ⋮ On the height of Gross-Schoen cycles in genus three

Cites Work

• Variation of mixed Hodge structure. I
• Height pairings for algebraic cycles
• Unipotent variations of mixed Hodge structure
• Green's currents and height pairing on complex tori
• Hyperrésolutions cubiques et descente cohomologique. (La plupart des exposés d'un séminaire sur la théorie de Hodge-Deligne, Barcelona (Spain), 1982)
• Théorie de Hodge. II. (Hodge theory. II)
• Théorie de Hodge. III
• INTERSECTION THEORY OF DIVISORS ON AN ARITHMETIC SURFACE
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