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arXiv · 0906.4192

On Green and Green-Lazarfeld conjectures for simple coverings of algebraic curves

Edoardo Ballico·Claudio Fontanari
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Abstract

Let X be a smooth genus g curve equipped with a simple morphism f: X -> C, where C is either the projective line or more generally any smooth curve whose gonality is computed by finitely many pencils. Here we apply a method developed by Aprodu to prove that if g is big enough then X satisfies both Green and Green-Lazarsfeld conjectures. We also partially address the case in which the gonality of C is computed by infinitely many pencils.

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Edoardo Ballico, Claudio Fontanari. 2009-09-18. On Green and Green-Lazarfeld conjectures for simple coverings of algebraic curves. https://arxiv.org/abs/0906.4192

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