The Segre determinant
Abstract
The Segre determinant is a polynomial which encodes the condition for points to lie on a bilinear hypersurface in the product of projective spaces.We study Segre determinants and compute them in various coordinate systems.We show that the Segre determinant represents the Chow-Lam form of a generic torus orbit in the Grassmannian.These Chow-Lam forms were introduced as a generalization of Chow forms for projective varieties, and enjoy many similar properties.We also present applications to algebraic vision and to Chow quotients of Grassmannians.
Fields of Study & Subjects
Polynomial and algebraic computation
Tensor decomposition and applications
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Orbita Mathematicae
- Volume
- 3
- Issue
- 2
- Pages
- 127–144
- Publication date
- 15 May 2026
- Language
- EN