Work

Upper bounds for the rank of powers of quadrics

Year: 2024

Type: article

Abstract: We establish an upper bound for the rank of every power of an arbitrary quadratic form. Specifically, for any s ∈ N , we prove that the s -th power of a quadratic form of rank n grows as n s . Furthermore, we demonstrate that its rank is subgeneric for all n > ( 2 s − 1 ) 2 .

Source: Linear Algebra and its Applications

DOI: 10.1016/j.laa.2024.11.009

Author: Cosimo Flavi

Institution: University of Florence

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,870

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Università di Bologna, Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni