Work

The Chow-Lam form

Year: 2025

Type: article

Abstract: The classical Chow form encodes any projective variety by one equation. We here introduce the Chow-Lam form for subvarieties of a Grassmannian. By evaluating the Chow-Lam form at twistor coordinates, we obtain universal projection formulas. These were pioneered by Thomas Lam for positroid varieties in the study of amplituhedra, and we develop his approach further. Universal formulas for branch loci are obtained from Hurwitz-Lam forms. Our focus is on computations and applications in geometry.

Source: Journal of Symbolic Computation

DOI: 10.1016/j.jsc.2025.102450

Authors: Elizabeth Pratt, Bernd Sturmfels

Institutions: University of California, Berkeley, Max Planck Institute for Mathematics in the Sciences

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,160

Funder: National Science Foundation