Prym covers, theta functions and Kobayashi curves in Hilbert modular surfaces

DOI10.1353/ajm.2014.0026zbMath1357.14042arXiv1111.2624OpenAlexW2134943199MaRDI QIDQ2879439

Martin Möller

Publication date: 1 September 2014

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.2624

zbMATH Keywords

theta functionsPrym varietiesHilbert modular surfacesTeichmüller curvesKobayashi curves

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Theta functions and abelian varieties (14K25) Theta series; Weil representation; theta correspondences (11F27) Teichmüller theory for Riemann surfaces (30F60) Engel conditions (20F45) Theta functions and curves; Schottky problem (14H42)

Related Items (10)

Billiards and Teichmüller curves ⋮ Weierstrass filtration on Teichmüller curves and Lyapunov exponents ⋮ Modular embeddings of Teichmüller curves ⋮ 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 ⋮ Euler characteristics of gothic Teichmüller curves ⋮ Book Review: Twisted Teichmüller curves ⋮ ORBIFOLD POINTS ON PRYM–TEICHMÜLLER CURVES IN GENUS ⋮ Hodge-Teichmüller planes and finiteness results for Teichmüller curves

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