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arXiv · 2608.02855

Rank 2 Affine Invariant Subvarieties in H(6)

Pramana Saldin·Ruocheng Yang
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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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Pramana Saldin, Ruocheng Yang. 2026-08-03. Rank 2 Affine Invariant Subvarieties in H(6). https://arxiv.org/abs/2608.02855

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