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arXiv · 2406.12101

Curves on complete intersections and measures of irrationality

Nathan Chen·Benjamin Church·Junyan Zhao
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Abstract

We study the minimal degrees and gonalities of curves on complete intersections. We prove that the degree of any curve on a general complete intersection $X \subseteq \mathbb{P}^N$ of large multidegree is bounded from below by the degree of $X$. As an application, we answer a problem of Bastianelli--De Poi--Ein--Lazarsfeld--Ullery on measures of irrationality for complete intersections.

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Nathan Chen, Benjamin Church, Junyan Zhao. 2024-06-17. Curves on complete intersections and measures of irrationality. https://arxiv.org/abs/2406.12101

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