5 papers
Generating sets for maximal orders in rational quaternion algebras
Kirsten Eisenträger, Eyal Z. Goren, Annamaria Iezzi +6
Given a maximal order in a rational definite quaternion algebra, and a prime coprime to the discriminant of , this paper considers subsets of $\…
The Number of Curves of Genus 2 with a Given Refined Humbert Invariant
Ernst Kani, Harun Kir
Let be a curve of genus 2 over an algebraically closed field . Every such curve comes equipped with a canonical quadratic form called its refined Humbert invariant.…
Constructing genus 2 curves with given refined Humbert invariants
Harun Kir
In 1994, Kani introduced an algebraic version of the Humbert invariant, known as the refined Humbert invariant. This invariant q_C is a positive definite quadratic form attached to…
The Refined Humbert Invariant for an Automorphism Group of a Genus 2 Curve
Harun Kir
The purpose of this paper is to list the refined Humbert invariants for a given automorphism group of a curve of genus 2 over an algebraically closed field with character…
The classification of the refined Humbert invariant for curves of genus 2
Harun Kir
The refined Humbert invariant is a positive definite quadratic form intrinsically attached to a curve of genus 2. This invariant is an algebraic generalization of the (usual) H…