Work

Non-Defectivity of Segre–Veronese varieties

Year: 2024

Type: article

Abstract: 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.

Source: Proceedings of the American Mathematical Society Series B

DOI: 10.1090/bproc/248

Authors: Hirotachi Abo, Maria Chiara Brambilla, Francesco Galuppi, Alessandro Oneto

Institutions: University of Idaho, Marche Polytechnic University, University of Warsaw, University of Trento

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $750

Funders: Ministero dell’Istruzione, dell’Università e della Ricerca, Narodowe Centrum Nauki, Polska Akademia Nauk