Generalized Tate curve and integral Teichmuller modular forms

DOI10.1353/ajm.2000.0046zbMath1062.14501OpenAlexW1980143629MaRDI QIDQ2702995

Takashi Ichikawa

Publication date: 18 April 2001

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

Full work available at URL: http://muse.jhu.edu/journals/american_journal_of_mathematics/toc/ajm122.6.html

zbMATH Keywords

irreducible degenerate curveuniversal stable curve

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Curves over finite and local fields (11G20) Rigid analytic geometry (14G22)

Related Items (9)

Schottky spaces and universal Mumford curves over \(\mathbb{Z}\) ⋮ Periods of tropical curves and associated KP solutions ⋮ Vector bundles on a nearly degenerate Riemann surface ⋮ An explicit formula of the normalized Mumford form ⋮ Klein’s formulas and arithmetic of Teichmüller modular forms ⋮ A non-Archimedean analogue of Teichmüller space and its tropicalization ⋮ Modular invariants for genus 3 hyperelliptic curves ⋮ Concomitants of ternary quartics and vector-valued Siegel and Teichmüller modular forms of genus three ⋮ Chern-Simons invariant and Deligne-Riemann-Roch isomorphism

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