This thesis focuses on algebraic curves in positive characteristic with large automorphism groups. In particular, cyclic and dihedral groups, as well as groups with a cyclic subgroup of index 2, are studied. It also discusses some Galois subcovers of the Hermitian curve.
Automorphisms of algebraic curves in positive characteristic and their applications / Arianna Dionigi. - (2026).
Automorphisms of algebraic curves in positive characteristic and their applications
Arianna Dionigi
2026
Abstract
This thesis focuses on algebraic curves in positive characteristic with large automorphism groups. In particular, cyclic and dihedral groups, as well as groups with a cyclic subgroup of index 2, are studied. It also discusses some Galois subcovers of the Hermitian curve.
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