5 papers
Curves with a large automorphism group admitting a cyclic subgroup of index
Arianna Dionigi, Massimo Giulietti, Marco Timpanella
The Hurwitz bound on the order of the -automorphism group of an algebraic curve of genus defined over a…
Large automorphism groups compared to the -rank of algebraic curves in characteristic
Massimo Giulietti, Gábor Korchmáros, Marco Timpanella
Let $\cX$ be a (projective, geometrically irreducible, non-singular) algebraic curve of genus and positive -rank $γ(\cX)$, defined over an algebraically closed field $\…
AG codes from the Hermitian curve for Cross-Subspace Alignment in Private Information Retrieval
Francesco Ghiandoni, Massimo Giulietti, Enrico Mezzano +1
Private information retrieval (PIR) addresses the problem of retrieving a desired message from distributed databases without revealing which message is being requested. Recent work…
A generalization of Bring's curve in any characteristic
Gábor Korchmáros, Stefano Lia, Marco Timpanella
Let be a prime, and an integer. A natural generalization of Bring's curve valid over any field of zero characteristic or positive characteristic ,…
Algebraic curves with a large cyclic automorphism group
Arianna Dionigi, Massimo Giulietti, Marco Timpanella
The study of algebraic curves $\cX$ with numerous automorphisms in relation to their genus $g(\cX)$ is a well-established area in Algebraic Geometry. In 1995, Irokawa and Sasaki \c…