Normal functions and the height of Gross-Schoen cycles

DOI10.1215/00277630-2413391zbMath1312.14073arXiv1207.6502OpenAlexW1975758923MaRDI QIDQ5169717

Robin de Jong

Publication date: 11 July 2014

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

Full work available at URL: https://arxiv.org/abs/1207.6502

zbMATH Keywords

Beilinson-Bloch heightGross-Schoen cycle

Mathematics Subject Classification ID

Fibrations, degenerations in algebraic geometry (14D06) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Algebraic cycles (14C25)

Related Items (1)

On the height of Gross-Schoen cycles in genus three

Cites Work

• The Picard groups of the moduli spaces of curves
• Admissible pairing on a curve
• Harmonic volumes
• Calculus on arithmetic surfaces
• La formule de Noether pour les surfaces arithmétiques. (The Noether formula for arithmetic surfaces)
• Height pairings for algebraic cycles
• The fundamental group of a Riemann surface: Mixed Hodge structures and algebraic cycles
• Biextensions and heights associated to curves of odd genus
• The modified diagonal cycle on the triple product of a pointed curve
• \(\mathbb{C}^*\)-extensions of tori, higher Chow groups and applications to incidence equivalence relations for algebraic cycles
• On the Arakelov geometry of moduli spaces of curves
• Gross-Schoen cycles and dualising sheaves
• Normal Functions and the Geometry of Moduli Spaces of Curves
• Note on curves in a Jacobian
• Multigrid and M-Matrices in the Finite Pointset Method for Incompressible Flows
• INTERSECTION THEORY OF DIVISORS ON AN ARITHMETIC SURFACE
• Heights of Projective Varieties and Positive Green Forms
• Second variation of Zhang’s λ-invariant on the moduli space of curves
• Galois Groups and Fundamental Groups
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