Geodesic
Classification of higher rank orbit closures in ${\mathcal H^{\mathrm{odd}}(4)}$
Journal of the European Mathematical Society, Tome 18 (2016) no. 8, pp. 1855-1872.

Voir la notice de l'article provenant de la source EMS Press

The moduli space of genus 3 translation surfaces with a single zero has two connected components. We show that in the odd connected component Hodd(4) the only GL+(2,R) orbit closures are closed orbits, the Prym locus Q~​(3,−13), and Hodd(4).
DOI : 10.4171/jems/631
Classification : 37-XX, 32-XX
Keywords: Translation surface, Abelian differential, Teichmüller dynamics, affine invariant submanifold, orbit closure, Prym locus, Teichmüller curves 
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     title = {Classification of higher rank orbit closures in ${\mathcal H^{\mathrm{odd}}(4)}$},
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David Aulicino; Duc-Manh Nguyen; Alex Wright. Classification of higher rank orbit closures in ${\mathcal H^{\mathrm{odd}}(4)}$. Journal of the European Mathematical Society, Tome 18 (2016) no. 8, pp. 1855-1872. doi : 10.4171/jems/631. http://geodesic.mathdoc.fr/articles/10.4171/jems/631/

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