English

Terracini loci of curves

Algebraic Geometry 2023-05-04 v1

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.

Keywords

Cite

@article{arxiv.2305.02035,
  title  = {Terracini loci of curves},
  author = {Edoardo Ballico and Luca Chiantini},
  journal= {arXiv preprint arXiv:2305.02035},
  year   = {2023}
}

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17 pages