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Terracini loci of curves

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arxiv 2305.02035 v1 pith:QMFDDBNE submitted 2023-05-03 math.AG

Edoardo Ballico , Luca Chiantini This is my paper · ORCID
classification math.AG
keywords curveslociterracinicasesubsetscanonicalconditionsdivisors
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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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  1. Algebraically Skew Embeddings of Curves

    math.AG 2025-01 conditional novelty 5.0 of 10

    In complex projective 4-space, the only algebraically skew curves are the rational normal curve and the elliptic normal curves; in 3-space, the only one is the twisted cubic.

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