On a theorem of Lafforgue
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.
- Publication:
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arXiv e-prints
- Pub Date:
- September 2023
- DOI:
- 10.48550/arXiv.2309.01746
- arXiv:
- arXiv:2309.01746
- Bibcode:
- 2023arXiv230901746B
- Keywords:
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- Mathematics - Combinatorics;
- Mathematics - Algebraic Geometry
- E-Print:
- 11 pages. v2: Generalized Theorem 2.3, made some minor expository changes