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Enumeration of Terracini schemes

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arxiv 2406.16514 v1 pith:3XHWKE5Q submitted 2024-06-24 math.AG

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classification math.AG
keywords expectedschemeterracinicaseclosedcomputingcurvecurves
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abstract

In this note we outline a way of computing the expected lenght of the Terracini scheme of a curve, when this scheme is expected to be finite and we give a closed formula for curves in $\p^4$. We also discuss the widely open case of varieties of higher dimension.

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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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