Rational classes and divisors on curves of genus 2

Lopez Neumann, Victor Gonzalo; Manoil, Constantin

doi:10.1007/s00229-006-0021-y

Scientific article

Open access

English

Rational classes and divisors on curves of genus 2

ContributorsLopez Neumann, Victor Gonzalo; Manoil, Constantin

Published inManuscripta mathematica, vol. 120, no. 4, p. 403-413

Collection

Open Access - Licence nationale Springer

Publication date2006

Abstract

We describe amethod of looking for rational divisor classes on a curve of genus 2. We have an algorithm to decide if a given class of divisors of degree 3 contains a rational divisor. It is known that the shape of the kernel of Cassel's morphism (X − T ) is related to the existence of rational classes of degree 1. Our key tool is the dual Kummer surface.

Affiliation

Faculté des sciences / Section de mathématiques

Citation (ISO format)

LOPEZ NEUMANN, Victor Gonzalo, MANOIL, Constantin. Rational classes and divisors on curves of genus 2. In: Manuscripta mathematica, 2006, vol. 120, n° 4, p. 403–413. doi: 10.1007/s00229-006-0021-y

Article (Published version)

Identifiers

PID : unige:12095
DOI : 10.1007/s00229-006-0021-y

Commercial URLhttp://www.springerlink.com/index/10.1007/s00229-006-0021-y

ISSN of the journal0025-2611

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Rational classes and divisors on curves of genus 2

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