Teichmüller curves in genus two: The decagon and beyond

By Curtis T. McMullen. 2005

69 citations recorded by the source corpus.

Subfields: Classics, Geometry and Topology, Language and Linguistics

View Paper: https://www.semanticscholar.org/paper/7aa2957e162767315ef81850472fc0882141bdc5

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Classics

1. Martin Möller
2. A. Wright
3. Erwan Lanneau
4. Pascal Hubert

In Geometry and Topology

1. Martin Möller
2. A. Wright
3. Curtis T. McMullen
4. Erwan Lanneau
5. Pascal Hubert
6. Simion Filip
7. A. Zorich
8. Matt Bainbridge

In Language and Linguistics

1. Martin Möller
2. A. Wright
3. Erwan Lanneau
4. Pascal Hubert
5. Curtis T. McMullen

Citations in the corpus

• Teichmüller curves in genus two: Torsion divisors and ratios of sines (2006, methodology): “Theorem 1.1 was conjectured in [Mc3], and established for all Teichm¨uller curves with discriminant D ≤ 400 in [ Mc4 ].”
• Periodic points on Veech surfaces and the Mordell-Weil group over a Teichmüller curve (2004, methodology): “5.2. The stratum ΩM2(1, 1). This stratum contains only one primitive Teichmuller curve, the one generated by the regular decagon (see [ McM05b ] and [McM06]).”
• Veech groups without parabolic elements (2005, background): “See say [KS], [MT], [Mc1, Mc2], [T], [Ve2] for more details; See also [Mc3, Mc4 , Mc5], for recent related developments.”
• Cylinder deformations in orbit closures of translation surfaces (2013, background): “The author thanks Curtis McMullen and the referee for helpful comments on an earlier draft.”