On the Arakelov geometry of moduli spaces of curves

DOI10.4310/jdg/1102536200zbMath1118.14029arXivmath/0211097OpenAlexW1622084511WikidataQ115200084 ScholiaQ115200084MaRDI QIDQ2494187

Yanyan Li

Publication date: 19 June 2006

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0211097

zbMATH Keywords

asymptoticsArakelov theorystable curvesbiextension line bundlemetrized line bundle

Mathematics Subject Classification ID

Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Families, moduli of curves (analytic) (14H15)

Related Items (10)

Relative pro-\(\ell \)completions of mapping class groups ⋮ Explicit Mumford isomorphism for hyperelliptic curves ⋮ Local invariants attached to Weierstrass points ⋮ New explicit formulas for Faltings' delta-invariant ⋮ Rings of tautological forms on moduli spaces of curves ⋮ Jumps in the height of the Ceresa cycle ⋮ Chern-Weil and Hilbert-Samuel formulae for singular Hermitian line bundles ⋮ Normal functions and the height of Gross-Schoen cycles ⋮ Jumps in the Archimedean height ⋮ On the height of Gross-Schoen cycles in genus three

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