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January 22, 2026Mathematische ZeitschriftOpen Access

Infinitesimal commutative unipotent group schemes with one-dimensional Lie algebra

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Proves the existence of specific infinitesimal unipotent groups, revealing important algebraic structures in characteristic p fields.

The research aims to characterize infinitesimal commutative unipotent group schemes with one-dimensional Lie algebra over algebraically closed fields of characteristic p.
Proved isomorphism of infinitesimal unipotent k-group schemes of order p^n.
Described all infinitesimal subgroup schemes of any supersingular elliptic curve.
Answered a question regarding rational actions on curves.
Established a unique categorization of infinitesimal commutative unipotent group schemes of specific orders.
Provided explicit descriptions related to torsion of supersingular elliptic curves.
Addressed Brion's question on rational actions of these group schemes on curves.

Bianca Gouthier (2026) studied this question.

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