Scientific article
Open access

Rational classes and divisors on curves of genus 2

Published inManuscripta mathematica, vol. 120, no. 4, p. 403-413
  • Open Access - Licence nationale Springer
Publication date2006

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.

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
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Article (Published version)
ISSN of the journal0025-2611

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