Positivity of the Height Jump Divisor

DOI10.1093/imrn/rnx169zbMath1437.14031arXiv1701.00370OpenAlexW2569889691MaRDI QIDQ5243338

David Holmes, José Ignacio Burgos Gil, Robin de Jong

Publication date: 18 November 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.00370

zbMATH Keywords

positivitydegenerationsvariation of Hodge structuresingular metricsheight jump divisor

Mathematics Subject Classification ID

Period matrices, variation of Hodge structure; degenerations (32G20) Variation of Hodge structures (algebro-geometric aspects) (14D07) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (6)

SINGULARITIES OF THE BIEXTENSION METRIC FOR FAMILIES OF ABELIAN VARIETIES ⋮ Chern-Weil theory for line bundles with the family Arakelov metric ⋮ Jumps in the height of the Ceresa cycle ⋮ Jumps in the Archimedean height ⋮ On the height of Gross-Schoen cycles in genus three ⋮ Torsion points and height jumping in higher-dimensional families of abelian varieties

This page was built for publication: Positivity of the Height Jump Divisor