A note on very ample Terracini loci

Author:

Ballico Edoardo,Ventura EmanueleORCID

Abstract

AbstractIn this short note we show that, for any ample embedding of a variety of dimension at least two in a projective space, all high enough degree Veronese re-embeddings have non-empty Terracini loci.

Funder

Instytut Matematyczny, Polskiej Akademii Nauk

Politecnico di Torino

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference6 articles.

1. Alexander, J., Hirschowitz, A.: An asymptotic vanishing theorem for generic unions of multiple points. Invent. Math. 140, 303–325 (2000)

2. Ballico, E., Chiantini, L.: On the Terracini Locus of Projective Varieties. Milan J. Math. 89, 1–17 (2021)

3. Ballico, E., Bernardi, A., Santarsiero, P.: Terracini locus for three points on a Segre variety, preprint at arXiv:2012.00574, (2020)

4. Chiantini, L., Gesmundo, F.: Decompositions and Terracini loci of cubic forms of low rank, preprint at arXiv:2302.03715, (2023)

5. Gruson, L., Lazarsfeld, R., Peskine, C.: On a theorem of Castelnuovo and the equations defining space curves. Invent. Math. 72, 491–506 (1983)

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Minimal Terracini loci in the plane: gaps and non-gaps;Rendiconti del Circolo Matematico di Palermo Series 2;2024-08-12

2. Decompositions and Terracini loci of cubic forms of low rank;Contemporary Mathematics;2024

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