Teichmüller curves in genus two: Torsion divisors and ratios of sines
By Curtis T. McMullen. 2006
137 citations recorded by the source corpus.
Subfields: Computational Mechanics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/46bcceaaa6c1dc5037e3d5613f5ee9ce68c25322
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Mechanics
- Martin Möller
- Matt Bainbridge
- Serge Cantat
- Simion Filip
- John Lesieutre
- Jeffrey Diller
- Erwan Lanneau
- Kyounghee Kim
In Geometry and Topology
- Martin Möller
- Matt Bainbridge
- Curtis T. McMullen
- A. Wright
- Martin Moeller
- G. Forni
- Simion Filip
- A. Eskin
Citations in the corpus
- Periodic points on Veech surfaces and the Mordell-Weil group over a Teichmüller curve (2004, methodology): “Proof: This follows from [ McM06 , Theorem 2.1] and the addition formula”
- Prym Varieties and Teichmüller Curves (2006, background): “This section presents general results on holomorphic 1-forms, quadratic differentials and Teichm¨uller curves; for additional background, see [KZ], [ Mc3 , §3] and references therein.”
- Euler characteristics of Teichmüller curves in genus two (2006, background): “In [56], McMullen showed that D10 and the WD for D nonsquare are in fact all of the primitive Teichmüller curves in M2 generated by an Abelian differential.”
- Teichmüller curves in genus two: Discriminant and spin (2005, methodology): “an isometrically immersed algebraic curve in moduli space [ Mc3 , Cor.”
- Braid groups and Hodge theory (2013, background): “As shown in [Lo1] (see also [ Mc4 , §5]), the point configurations arising in V are given explicitly by”
- Teichmüller curves in genus two: The decagon and beyond (2005, unknown): “Added in proof: Conjecture 1.2 is established in [ Mc4 ].”
- The Deligne–Mumford compactification of the real multiplication locus and Teichmüller curves in genus 3 (2012, methodology): “This torsion condition was used previously in [McM06b] to show that there is a unique primitive Teichmüller curve in ΩM2(1, 1) and in [Möl08] to show finiteness of algebraically primitive Teichmüller curves in the hyperelliptic components ΩMg(g − 1, g − 1) of ΩMg(g − 1, g − 1).”