Minimal Terracini loci in projective spaces
Abstract
We characterize the number of points for which there exist nonempty Terracini sets of points in $\mathbb{P}^n$. Then we study minimally Terracini finite sets of points in $\mathbb{P}^n$ and we obtain a complete description in the case of $\mathbb{P}^3$, when the number of points is less than twice the degree of the linear system.
 Publication:

arXiv eprints
 Pub Date:
 June 2023
 DOI:
 10.48550/arXiv.2306.07161
 arXiv:
 arXiv:2306.07161
 Bibcode:
 2023arXiv230607161B
 Keywords:

 Mathematics  Algebraic Geometry;
 Mathematics  Commutative Algebra;
 14C20 (Primary) 14N07 (Secondary)
 EPrint:
 23 pages. Revised version. Title changed