On a theorem of Lafforgue
Combinatorics
2023-09-12 v2 Algebraic Geometry
Abstract
We give a new proof, along with some generalizations, of a folklore theorem (attributed to Laurent Lafforgue) that a rigid matroid (i.e., a matroid with indecomposable basis polytope) has only finitely many projective equivalence classes of representations over any given field.
Keywords
Cite
@article{arxiv.2309.01746,
title = {On a theorem of Lafforgue},
author = {Matthew Baker and Oliver Lorscheid},
journal= {arXiv preprint arXiv:2309.01746},
year = {2023}
}
Comments
11 pages. v2: Generalized Theorem 2.3, made some minor expository changes