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• W3100326099 startingPage "1323" @default.
• W3100326099 abstract "The field of definition of an affine invariant submanifold M is the smallest subfield of the reals such that M can be defined in local period coordinates by linear equations with coefficients in this field. We show that the field of definition is equal to the intersection of the holonomy fields of translation surfaces in M, and is a real number field of degree at most the genus. We show that the projection of the tangent bundle of M to absolute cohomology H^1 is simple, and give a direct sum decomposition of H^1. Applications include explicit full measure sets of translation surfaces whose orbit closures are as large as possible, and evidence for finiteness of algebraically primitive Teichmuller curves. The proofs use recent results of Artur Avila, Alex Eskin, Maryam Mirzakhani, Amir Mohammadi, and Martin Moller." @default.
• W3100326099 created "2020-11-23" @default.
• W3100326099 creator A5038583301 @default.
• W3100326099 date "2014-07-07" @default.
• W3100326099 modified "2023-10-18" @default.
• W3100326099 title "The field of definition of affine invariant submanifolds of the moduli space of abelian differentials" @default.
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• W3100326099 doi "https://doi.org/10.2140/gt.2014.18.1323" @default.
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