Base Point Freeness, Uniqueness of Decompositions and Double Points for Veronese and Segre Varieties

Author:

Ballico EdoardoORCID

Abstract

We prove a base point freeness result for linear systems of forms vanishing at general double points of the projective plane. For tensors we study the uniqueness problem for the representation of a tensor as a sum of terms corresponding to points and tangent vectors of the Segre variety associated with the format of the tensor. We give complete results for unions of one point and one tangent vector.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Reference38 articles.

1. Joins and higher secant varieties.

2. Terracini loci for 3 points on a Segre variety;Ballico;arXiv,2020

3. On the Terracini Locus of Projective Varieties

4. Geometry of dots and ropes

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