Marco Timpanella

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20182026

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math.AG2026

Large cyclic automorphism groups and cyclic subgroups of index two in characteristic two

Marco Timpanella

Let $X$ be a projective, geometrically irreducible, nonsingular algebraic curve of genus $g \geq 2$ over an algebraically closed field of characteristic two. We classify cyc…

math.AG2026

Explicit invariants of the Suzuki and Ree groups in their function fields

Marco Timpanella

The Suzuki and Ree curves are two classical Deligne--Lusztig curves. They are maximal over suitable finite fields and their full automorphism groups are the Suzuki and Ree groups.…

math.AG2026

Curves with a large automorphism group admitting a cyclic subgroup of index $2$

Arianna Dionigi, Massimo Giulietti, Marco Timpanella

The Hurwitz bound on the order of the $K$ -automorphism group $Aut (X)$ of an algebraic curve $X$ of genus $g (X) \geq 2$ defined over a…

math.AG2026

Large automorphism groups compared to the $p$ -rank of algebraic curves in characteristic $p$

Massimo Giulietti, Gábor Korchmáros, Marco Timpanella

Let $\cX$ be a (projective, geometrically irreducible, non-singular) algebraic curve of genus $\geq 2$ and positive $p$ -rank $γ(\cX)$, defined over an algebraically closed field $\m…

Large cyclic automorphism groups and cyclic subgroups of index two in characteristic two

Explicit invariants of the Suzuki and Ree groups in their function fields

Curves with a large automorphism group admitting a cyclic subgroup of index 2

Large automorphism groups compared to the p-rank of algebraic curves in characteristic p

Curves with a large automorphism group admitting a cyclic subgroup of index $2$

Large automorphism groups compared to the $p$ -rank of algebraic curves in characteristic $p$