Reduced automorphism groups of small-genus 2-rank-zero hyperelliptic curves in char 2 are computed via Magma, yielding two conjectures analogous to the Oort conjecture.
Viehmann:Oort’s conjecture on automorphisms of generic supersingular abelian varieties, arXiv:2603.06033 [math.AG] 16.https://github.com/Kohtaro-Yamaguchi/code_Magma.git
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Automorphism groups of hyperelliptic curves of $2$-rank zero
Reduced automorphism groups of small-genus 2-rank-zero hyperelliptic curves in char 2 are computed via Magma, yielding two conjectures analogous to the Oort conjecture.