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arXiv · 2305.02035

Terracini loci of curves

Edoardo Ballico·Luca Chiantini
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Abstract

We study subsets S of curves X whose double structure does not impose independent conditions to a linear series L, but there are divisors D in |L| singular at all points of S. These subsets form the Terracini loci of X. We investigate Terracini loci, with a special look towards their non-emptiness, mainly in the case of canonical curves, and in the case of space curves.

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Edoardo Ballico, Luca Chiantini. 2023-05-03. Terracini loci of curves. https://arxiv.org/abs/2305.02035

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