Non-completeness of the Arakelov-induced metric on moduli space of curves
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Publication:2491166
DOI10.1007/s00229-006-0625-2zbMath1096.14017OpenAlexW2156477024MaRDI QIDQ2491166
Publication date: 26 May 2006
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: http://ddd.uab.cat/record/44133
Families, moduli of curves (algebraic) (14H10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Heat and other parabolic equation methods for PDEs on manifolds (58J35)
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- Calculus on arithmetic surfaces
- Noncompleteness of the Weil-Petersson metric for Teichmüller space
- The extension of the Weil-Petersson metric to the boundary of Teichmüller space
- A regularized heat trace for hyperbolic Riemann surfaces of finite volume
- Asymptotic behavior of Faltings's delta function
- The asymptotics of the Arakelov-Green's function and Faltings' delta invariant
- Theta functions on Riemann surfaces
- Riemannian metrics on Teichmüller space
- Bounds on Faltings's delta function through covers
- Bounds for special values of Selberg zeta functions of Riemann surfaces