High rank invariant subvarieties

Pages 657-726 from Volume 198 (2023), Issue 2 by Paul Apisa, Alex Wright

Abstract

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

Keywords
, , , , ,
Mathematical Subject Classification

Primary 2000: , ,

DOI
https://doi.org/10.4007/annals.2023.198.2.4
MR
4635302
zbMATH
07734889
Milestones
Received: 19 February 2021
Revised: 3 March 2023
Accepted: 4 April 2023
Published online: 31 August 2023

Authors

Paul Apisa

Department of Mathematics, University of Wisconsin, Madison, WI 53706

Alex Wright

Department of Mathematics, University of Michigan, Ann Arbor, MI 48109