Harmonic Mappings and Algebraic Varieties Over Function Fields

DOI10.2307/2374964zbMath0824.14008OpenAlexW2022020523MaRDI QIDQ4288900

Shing Tung Yau, Juergen Jost

Publication date: 27 April 1995

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374964

zbMATH Keywords

harmonic mapsKähler manifoldsperiod mapMordell conjecturefiniteness problemsArakelov theoremcompactified moduli varietyfibration by holomorphic curvestopological map homotopic to a holomorphic mapvariations of the singular set of families over a curve

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Singularities of curves, local rings (14H20) Algebraic functions and function fields in algebraic geometry (14H05) Families, fibrations in algebraic geometry (14D99)

Related Items (6)

On the Weil-Petersson volume and the first Chern class of the moduli space of Calabi-Yau manifolds ⋮ Arakelov type inequalities for Hodge bundles over algebraic varieties, Part I: Hodge bundles over algebraic curves ⋮ Singularities of harmonic maps ⋮ On the negativity of moduli spaces for polarized manifolds ⋮ L² CASTELNUOVO–DE FRANCHIS, THE CUP PRODUCT LEMMA, AND FILTERED ENDS OF KÄHLER MANIFOLDS ⋮ A nonlinear elliptic system for maps from Hermitian to Riemannian manifolds and rigidity theorems in Hermitian geometry

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