Classification of higher rank orbit closures in $H^{\text{odd}}(4)$
Language
en
Article de revue
This item was published in
Journal of the European Mathematical Society. 2016-08, vol. 18, n° 8, p. 1855-1872
European Mathematical Society
English Abstract
The moduli space of genus 3 translation surfaces with a single zero has two connected components. We show that in the odd connected component H^{odd}(4) the only GL^+(2,R) orbit closures are closed orbits, the Prym locus ...Read more >
The moduli space of genus 3 translation surfaces with a single zero has two connected components. We show that in the odd connected component H^{odd}(4) the only GL^+(2,R) orbit closures are closed orbits, the Prym locus Q(3,-1^3), and H^{odd}(4). Together with work of Matheus-Wright, this implies that there are only finitely many non-arithmetic closed orbits (Teichmuller curves) in H^{odd}(4) outside of the Prym locus.Read less <
Keywords
translation surface
moduli space
Origin
Hal imported