Year: 2025
Type: article
Abstract: The main result of this note asserts that a strong form of the Matroid Minor Conjecture due to Draisma is not true, that is, there exist properly ascending chains of $S_\infty $-stable ideals in the affine coordinate ring of the affine infinite Grassmannian, where $S_\infty $ is the infinite symmetric group. In fact, we explicitly construct such an ascending chain. His conjectures on topological Noetherian property for the affine infinite Grassmannian remain open though.
DOI: 10.1093/imrn/rnaf047
Author: Shrawan Kumar
Institution: University of North Carolina at Chapel Hill
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4408537218