High rank invariant subvarieties
Paul Apisa, Alex Wright
TL;DR
This paper classifies certain geometric structures called GL(2,R) orbit closures of translation surfaces, focusing on those with high rank relative to the genus, advancing understanding of their classification.
Contribution
It provides a classification of GL(2,R) orbit closures for translation surfaces with rank at least half the genus plus one.
Findings
Classified high-rank orbit closures
Identified structural properties of these subvarieties
Extended understanding of translation surface dynamics
Abstract
We classify GL(2,R) orbit closures of translation surfaces of rank at least half the genus plus 1.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Geometric and Algebraic Topology