Teichmüller curves generated by Weierstrass Prym eigenforms in genus 3 and genus 4

DOI10.1112/jtopol/jtt036zbMath1408.32014arXiv1301.0783OpenAlexW3122297243MaRDI QIDQ2928219

Duc-Manh Nguyen, Erwan Lanneau

Publication date: 7 November 2014

Published in: Journal of Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.0783

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15)

Related Items

Billiards and Teichmüller curves, Splitting mixed Hodge structures over affine invariant manifolds, A Short Introduction to Translation Surfaces, Veech Surfaces, and Teichmüller Dynamics, Invariant and stationary measures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space, Non-Existence and Finiteness Results for Teichmüller Curves in Prym Loci, A criterion for the simplicity of the Lyapunov spectrum of square-tiled surfaces, Totally non-congruence Veech groups, Computing periodic points on Veech surfaces, Connectedness of Prym eigenform loci in genus 5, The Galois Action and a Spin Invariant for Prym-Teichmüller Curves in Genus 3, WEIERSTRASS PRYM EIGENFORMS IN GENUS FOUR, Masur–Veech volume of the gothic locus, Non-Veech surfaces in \(\mathcal H^{\mathrm{hyp}}(4)\) are generic, Connected components of Prym eigenform loci in genus three, Lattice surfaces and smallest triangles, Weak mixing directions in non-arithmetic Veech surfaces, Classification of higher rank orbit closures in \(\mathcal{H}^{\mathrm{odd}}(4)\), Teichm\"uller dynamics in the eyes of an algebraic geometer, ORBIFOLD POINTS ON PRYM–TEICHMÜLLER CURVES IN GENUS, Hodge-Teichmüller planes and finiteness results for Teichmüller curves