There are no primitive Teichmüller curves in $\mathrm{Prym}(2,2)$

We complete the work of Lanneau–Möller [4] to show that there are no primitive Teichmüller curves in $\mathrm{Prym}(2,2)$.

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Bibliographic Details
Main Authors: Boulanger, Julien, Freedman, Sam
Format: Article
Language:English
Published: Académie des sciences 2024-03-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.551/
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author Boulanger, Julien
Freedman, Sam
author_facet Boulanger, Julien
Freedman, Sam
author_sort Boulanger, Julien
collection DOAJ
description We complete the work of Lanneau–Möller [4] to show that there are no primitive Teichmüller curves in $\mathrm{Prym}(2,2)$.
format Article
id doaj-art-875bee4f315f4af9a4b692cda01b102b
institution Kabale University
issn 1778-3569
language English
publishDate 2024-03-01
publisher Académie des sciences
record_format Article
series Comptes Rendus. Mathématique
spelling doaj-art-875bee4f315f4af9a4b692cda01b102b2025-02-07T11:16:25ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692024-03-01362G216717010.5802/crmath.55110.5802/crmath.551There are no primitive Teichmüller curves in $\mathrm{Prym}(2,2)$Boulanger, Julien0Freedman, Sam1FranceUnited StatesWe complete the work of Lanneau–Möller [4] to show that there are no primitive Teichmüller curves in $\mathrm{Prym}(2,2)$.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.551/
spellingShingle Boulanger, Julien
Freedman, Sam
There are no primitive Teichmüller curves in $\mathrm{Prym}(2,2)$
Comptes Rendus. Mathématique
title There are no primitive Teichmüller curves in $\mathrm{Prym}(2,2)$
title_full There are no primitive Teichmüller curves in $\mathrm{Prym}(2,2)$
title_fullStr There are no primitive Teichmüller curves in $\mathrm{Prym}(2,2)$
title_full_unstemmed There are no primitive Teichmüller curves in $\mathrm{Prym}(2,2)$
title_short There are no primitive Teichmüller curves in $\mathrm{Prym}(2,2)$
title_sort there are no primitive teichmuller curves in mathrm prym 2 2
url https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.551/
work_keys_str_mv AT boulangerjulien therearenoprimitiveteichmullercurvesinmathrmprym22
AT freedmansam therearenoprimitiveteichmullercurvesinmathrmprym22