Klein’s formulas and arithmetic of Teichmüller modular forms-Reference-Cited by-同舟云学术

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Klein’s formulas and arithmetic of Teichmüller modular forms

Published:2018-09-17 Issue:12 Volume:146 Page:5105-5112
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Ichikawa Takashi

Abstract

We apply the arithmetic theory of Teichmüller modular forms to calculating constants in relations, which are connected with Klein’s (amazing) formulas, between certain invariants of canonical curves of genus g = 3 , 4 g = 3, 4 .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2018-146-12/S0002-9939-2018-14244-6/S0002-9939-2018-14244-6.pdf

Reference14 articles.

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2. Equations defining the periods of totally degenerate curves;Gerritzen, L.;Israel J. Math.,1992

3. Theta constants and Teichmüller modular forms;Ichikawa, Takashi;J. Number Theory,1996

4. Generalized Tate curve and integral Teichmüller modular forms;Ichikawa, Takashi;Amer. J. Math.,2000

5. Schottky’s invariant and quadratic forms;Igusa, Jun-ichi,1981

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Schottky spaces and universal Mumford curves over $${\mathbb {Z}}$$;Selecta Mathematica;2022-09

2. Siegel modular forms of degree three and invariants of ternary quartics;Proceedings of the American Mathematical Society;2019-11-28

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