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arXiv · 2305.08162

Superfat points and associated tensors

Stefano Canino·Maria Virginia Catalisano·Alessandro Gimigliano·Monica Idà
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Abstract

We consider 0-dimensional schemes supported at a single point in n-space that are m-symmetric, i.e. that intersect any smooth curve passing through the point with length m, and the ones among them that are maximal with respect to inclusion (called m-superfat points). We study properties of such schemes, in particular for n=2. We give a first application of the simplest such schemes, namely 2-superfat points in the plane, by studying varieties defined by them on Veronese and Segre-Veronese varieties and the (symmetric or partially symmetric) tensors they parameterize.

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Stefano Canino, Maria Virginia Catalisano, Alessandro Gimigliano, Monica Idà. 2023-05-14. Superfat points and associated tensors. https://arxiv.org/abs/2305.08162

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