High rank invariant subvarieties

Paul Apisa; Alex Wright

doi:10.4007/annals.2023.198.2.4

Abstract

We classify $\mathrm{GL}(2,\mathbb{R})$ orbit closures of translation surfaces of rank at least half the genus plus $1$.

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Paul Apisa. Alex Wright. "High rank invariant subvarieties." Ann. of Math. (2) 198 (2) 657 - 726, September 2023. https://doi.org/10.4007/annals.2023.198.2.4

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Published: September 2023

First available in Project Euclid: 31 August 2023

Digital Object Identifier: 10.4007/annals.2023.198.2.4

Subjects:

Primary: 14H15 , 32G15 , 37D40

Keywords: Abelian differential , invariant subvariety , moduli space , orbit closure , ‎rank‎ , translation surface

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