Non-completeness of the Arakelov-induced metric on moduli space of curves

DOI10.1007/s00229-006-0625-2zbMath1096.14017OpenAlexW2156477024MaRDI QIDQ2491166

Jürg Kramer, Jay A. Jorgenson

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

Mathematics Subject Classification ID

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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Extremal properties of the determinant of the Laplacian in the Bergman metric on the moduli space of genus two Riemann surfaces

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