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- W1641704639 abstract "We show that every surface in H^hyp(4) is either a Veech surface or a generic surface, i.e. its GL^+(2,R)-orbit is either a closed or a dense subset of H^hyp(4) . The proof develops new techniques applicable in general to the problem of classifying orbit closures, especially in low genus. Recent results of Eskin-Mirzakhani-Mohammadi, Avila-Eskin-Moller, and the second author are used. Combined with work of Matheus and the second author, a corollary is that there are at most finitely many non-arithmetic Teichmuller curves (closed orbits of surfaces not covering the torus) in H^hyp(4)." @default.
- W1641704639 created "2016-06-24" @default.
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- W1641704639 date "2013-06-20" @default.
- W1641704639 modified "2023-09-27" @default.
- W1641704639 title "Non-Veech surfaces in H^hyp(4) are generic" @default.
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