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Rational classes and divisors on curves of genus 2

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Published in Manuscripta Mathematica. 2006, vol. 120, no. 4, p. 403 - 413
Collection Open Access - Licence nationale Springer
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.
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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 https://archive-ouverte.unige.ch/unige:12095

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Deposited on : 2010-10-14

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