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arXiv · 1708.00641

An elementary proof of Lelli Chiesa's theorem on constancy of second coordinate of gonality sequence

Sarbeswar Pal
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Abstract

Let $X$ be a K3 surface and $L$ be an ample line bundle on it. In this article we will give an alternative and elementary proof of Lelli Chiesa's Theorem in the case of $r= 2$. More precisely we will prove that that under certain condition the second co-ordinate of the gonality sequence is constant along the smooth curves in the linear system $|L|$. Using Lelli Chiesa's theorem for $r \ge 3$ we also extend Lelli Chiesa's Theorem in the case of $r= 2$ in weaker condition.

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Sarbeswar Pal. 2017-08-02. An elementary proof of Lelli Chiesa's theorem on constancy of second coordinate of gonality sequence. https://doi.org/10.1007/s12044-022-00677-4

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