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Mathematics > Algebraic Geometry

arXiv:1807.10260 (math)
[Submitted on 26 Jul 2018 (v1), last revised 19 Jul 2019 (this version, v2)]

Title:Euler characteristics of Gothic Teichmüller curves

Authors:Martin Möller, David Torres-Teigell
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Abstract:We compute the Euler characteristics of the recently discovered series of Gothic Teichmüller curves. The main tool is the construction of 'Gothic' Hilbert modular forms vanishing at the images of these Teichmüller 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.
Comments: Revised version with minor corrections. Final version to appear in Geometry & Topology. 48 pages, 3 figures
Subjects: Algebraic Geometry (math.AG); Geometric Topology (math.GT)
Cite as: arXiv:1807.10260 [math.AG]
  (or arXiv:1807.10260v2 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.1807.10260
Journal reference: Geom. Topol. 24 (2020) 1149-1210
Related DOI: https://doi.org/10.2140/gt.2020.24.1149

Submission history

From: David Torres-Teigell [view email]
[v1] Thu, 26 Jul 2018 17:40:49 UTC (65 KB)
[v2] Fri, 19 Jul 2019 07:07:13 UTC (65 KB)
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