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.
%0 Generic
%1 baker2023theorem
%A Baker, Matthew
%A Lorscheid, Oliver
%D 2023
%K matroid
%T On a theorem of Lafforgue
%U http://arxiv.org/abs/2309.01746
%X 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.
@misc{baker2023theorem,
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.},
added-at = {2023-09-06T16:30:32.000+0200},
author = {Baker, Matthew and Lorscheid, Oliver},
biburl = {https://www.bibsonomy.org/bibtex/22737e9dd9133349e452381ee97710d01/amathematician},
description = {On a theorem of Lafforgue},
interhash = {f4f80c30dd9511373e4ab5269f5f54b6},
intrahash = {2737e9dd9133349e452381ee97710d01},
keywords = {matroid},
note = {cite arxiv:2309.01746Comment: 11 pages},
timestamp = {2023-09-06T16:30:32.000+0200},
title = {On a theorem of Lafforgue},
url = {http://arxiv.org/abs/2309.01746},
year = 2023
}