Ort: Medienraum D2 314 Uhrzeit: 14:00 - 15:30 Uhr
Das Seminar findet ab dem 22.04.2026 regelmäßig mittwochs statt.
Title: Twisted Artin-Schreier theory
Abstract: Over any field K of characteristic p, we parametrize the (Fₚ ⋊ Fₚˣ)-extensions of K by pairs of elements (g, a) ∈ K×Kˣ using a “twisted” variant of Artin–Schreier theory. Focusing on the case of the local function fields and of the rational function fields K over a finite field of characteristic p, we use this parametrization to study the number of (Fₚ ⋊ Fₚˣ)-extensions of K with prescribed discriminants.
Title: Twisted Artin-Schreier theory
Abstract: Over any field K of characteristic p, we parametrize the (Fₚ ⋊ Fₚˣ)-extensions of K by pairs of elements (g, a) ∈ K×Kˣ using a “twisted” variant of Artin–Schreier theory. Focusing on the case of the local function fields and of the rational function fields K over a finite field of characteristic p, we use this parametrization to study the number of (Fₚ ⋊ Fₚˣ)-extensions of K with prescribed discriminants.
Title: Twisted Artin-Schreier theory
Abstract: Over any field K of characteristic p, we parametrize the (Fₚ ⋊ Fₚˣ)-extensions of K by pairs of elements (g, a) ∈ K×Kˣ using a “twisted” variant of Artin–Schreier theory. Focusing on the case of the local function fields and of the rational function fields K over a finite field of characteristic p, we use this parametrization to study the number of (Fₚ ⋊ Fₚˣ)-extensions of K with prescribed discriminants.
Title: Twisted Artin-Schreier theory
Abstract: Over any field K of characteristic p, we parametrize the (Fₚ ⋊ Fₚˣ)-extensions of K by pairs of elements (g, a) ∈ K×Kˣ using a “twisted” variant of Artin–Schreier theory. Focusing on the case of the local function fields and of the rational function fields K over a finite field of characteristic p, we use this parametrization to study the number of (Fₚ ⋊ Fₚˣ)-extensions of K with prescribed discriminants.
Title: Twisted Artin-Schreier theory
Abstract: Over any field K of characteristic p, we parametrize the (Fₚ ⋊ Fₚˣ)-extensions of K by pairs of elements (g, a) ∈ K×Kˣ using a “twisted” variant of Artin–Schreier theory. Focusing on the case of the local function fields and of the rational function fields K over a finite field of characteristic p, we use this parametrization to study the number of (Fₚ ⋊ Fₚˣ)-extensions of K with prescribed discriminants.
Title: Twisted Artin-Schreier theory
Abstract: Over any field K of characteristic p, we parametrize the (Fₚ ⋊ Fₚˣ)-extensions of K by pairs of elements (g, a) ∈ K×Kˣ using a “twisted” variant of Artin–Schreier theory. Focusing on the case of the local function fields and of the rational function fields K over a finite field of characteristic p, we use this parametrization to study the number of (Fₚ ⋊ Fₚˣ)-extensions of K with prescribed discriminants.