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WEIERSTRASS PRYM EIGENFORMS IN GENUS FOUR

Part of: Dynamical systems with hyperbolic behavior Low-dimensional dynamical systems

Published online by Cambridge University Press:  14 February 2019

Erwan Lanneau  and
Duc-Manh Nguyen
Erwan Lanneau
Affiliation:
UMR CNRS 5582, Univ. Grenoble Alpes, CNRS, Institut Fourier, F-38000Grenoble, France (erwan.lanneau@univ-grenoble-alpes.fr)
Duc-Manh Nguyen
Affiliation:
UMR CNRS 5251, IMB Bordeaux-Université de Bordeaux, 351, Cours de la Libération, 33405Talence Cedex, France (duc-manh.nguyen@math.u-bordeaux.fr)
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Abstract

We prove the connectedness of the Prym eigenforms loci in genus four (for real multiplication by some order of discriminant $D$), for any $D$. These loci were discovered by McMullen in 2006.

Keywords

real multiplicationPrym locusTeichmüller curve

MSC classification

Primary: 37E05: Maps of the interval (piecewise continuous, continuous, smooth)
Secondary: 37D40: Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 19 , Issue 6 , November 2020 , pp. 2045 - 2085
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Copyright
© Cambridge University Press 2019

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References

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