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Curves of genus 2 and quadratic forms

Kir, Harun2024

… qC, which is intrinsically attached to a curve C of genus 2. This form, known as the refined Humbert invariant, was introduced by Kani (1994). Our first main result is the classification of those imprimitive ternary quadratic forms which can occur as one of the forms qC, for some curve C of genus …

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Gluing curves of genus 2 and genus 1 along their 2-torsion

Hanselman, JeroenUniversität Ulm

ulm-diss Repository record for Gluing curves of genus 2 and genus 1 along their 2-torsion (opens in a new tab)

Point Counting On Genus 2 Curves

Doliskani, Javad Nazari2011

… counting points on the jacobian variety of a given hyperelliptic curve is of great importance. There has been several approaches to obtain the cardinality of such a group, specially for hyperelliptic curves of genus 2. The best known algorithm for counting points on genus 2 curves over …

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