Harun Kir

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20222026

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math.AG2026

The Number of Curves of Genus 2 with a Given Refined Humbert Invariant

Ernst Kani, Harun Kir

Let $C / K$ be a curve of genus 2 over an algebraically closed field $K$ . Every such curve comes equipped with a canonical quadratic form $q_{C}$ called its refined Humbert invariant.…

math.AG2023

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 $C / K$ of genus 2 over an algebraically closed field $K$ with character…