Bianca Gouthier

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20222026

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math.AG2026

Weierstrass semigroups and the order bound

Alix Barraud, Yağmur Çakıroğlu, Bianca Gouthier +2

The aim of this survey is to provide the reader with an essential and accessible introduction to the theory of Weierstrass semigroups, in the context of the theory developed by K.-…

math.AG2024

Infinitesimal commutative unipotent group schemes with one-dimensional Lie algebra

Bianca Gouthier

We prove that over an algebraically closed field of characteristic $p > 0$ there are exactly, up to isomorphism, $n$ infinitesimal commutative unipotent $k$ -group schemes of order $p…

math.AG2024

Unexpected subgroup schemes of PGL_{2,k} in characteristic 2

Bianca Gouthier, Dajano Tossici

If the characteristic of a field $k$ is odd any infinitesimal group scheme of $P G L_{2, k}$ lifts to $S L_{2, k}$ . In this paper, we prove that this is not true in characteristic $2$ a…

math.AG2023

Infinitesimal rational actions

Bianca Gouthier

For any finite $k$ -group scheme $G$ acting rationally on a $k$ -variety, if the action is generically free then the dimension of $Lie (G)$ is upper bounded by the dimension…