Euler characteristics of Gothic Teichmüller curves

IF 2 1区数学

Geometry & Topology Pub Date : 2018-07-26 DOI:10.2140/GT.2020.24.1149

M. Moller, David Torres-Teigell

引用次数: 2

Abstract

We compute the Euler characteristics of the recently discovered series of Gothic Teichmuller curves. The main tool is the construction of 'Gothic' Hilbert modular forms vanishing at the images of these Teichmuller curves. Contrary to all previously known examples, the Euler characteristic is not proportional to the Euler characteristic of the ambient Hilbert modular surfaces. This results in interesting 'varying' phenomena for Lyapunov exponents.

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哥德式teichm曲线的欧拉特性

我们计算了最近发现的哥特曲线系列的欧拉特性。主要的工具是建造“哥特式”希尔伯特模形式，消失在这些Teichmuller曲线的图像上。与所有已知的例子相反，欧拉特性与周围希尔伯特模曲面的欧拉特性不成比例。这导致了李雅普诺夫指数有趣的“变化”现象。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Geometry & Topology 数学-数学

自引率

5.00%

发文量

期刊介绍： Geometry and Topology is a fully refereed journal covering all of geometry and topology, broadly understood. G&T is published in electronic and print formats by Mathematical Sciences Publishers. The purpose of Geometry & Topology is the advancement of mathematics. Editors evaluate submitted papers strictly on the basis of scientific merit, without regard to authors" nationality, country of residence, institutional affiliation, sex, ethnic origin, or political views.