Rank 2 Affine Invariant Subvarieties in H(6)

2026/08/03 by Pramana Saldin, Ruocheng Yang
Mathematics · #math.DS #math.GT #msc:32G15 #msc:37D40

paper · pdf

25 pages, 15 figures

arxiv created 2026/08/03 · arxiv updated 2026/08/05

Abstract

We classify rank 2 rel 0 arithmetic affine invariant subvarieties in the minimal stratum H(6). The proof follows and extends Apisa's approach in genus three, reducing the analysis to the classification of rank 1 rel 1 cylinder rigid affine invariant subvarieties in lower-genus boundary strata. In particular, together with the classification of algebraically primitive rank 2 rel 0 orbit closures, this gives a complete description of rank 2 affine invariant subvarieties in H(6).

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