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math.NT2026
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 $\…
math.NT2026
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…
math.NT2022
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…