Non-Defectivity of Segre–Veronese varieties
We prove that Segre–Veronese varieties are never secant defective if each degree is at least three. The proof is by induction on the number of factors, degree, and dimension. As a corollary, we give an almost optimal non-defectivity result for Segre–Veronese varieties with one degree equal to one and all the others at least three.
Authors
- Francesco Galuppi (ORCID: https://orcid.org/0000-0001-5630-5389)
- Alessandro Oneto (ORCID: https://orcid.org/0000-0002-8142-6382)
- Hirotachi Abo (ORCID: https://orcid.org/0000-0001-5630-1126)
- Maria Chiara Brambilla
Institutions
- Marche Polytechnic University (IT)
- University of Idaho (US)
- University of Trento (IT)
- University of Warsaw (PL)
Publication Details
- Journal
- Proceedings of the American Mathematical Society Series B
- Published
- 2024-11-20
- DOI
- https://doi.org/10.1090/bproc/248
- Citations
- 8
- Primary Topic
- Tensor decomposition and applications
- Type
- article
- Field-Weighted Citation Impact
- 2.61
Funders
- Narodowe Centrum Nauki