On a theorem of Lafforgue
M Baker, O Lorscheid - International Mathematics Research …, 2024 - academic.oup.com
We give a new proof, along with some generalizations, of a folklore theorem (attributed to
Laurent Lafforgue) that a rigid matroid (ie, a matroid with indecomposable basis polytope) …
Laurent Lafforgue) that a rigid matroid (ie, a matroid with indecomposable basis polytope) …
Self-dual matroids from canonical curves
A Geiger, S Hashimoto, B Sturmfels… - Experimental …, 2024 - Taylor & Francis
Self-dual configurations of 2 n points in a projective space of dimension n–1 were studied by
Coble, Dolgachev–Ortland, and Eisenbud–Popescu. We examine the self-dual matroids and …
Coble, Dolgachev–Ortland, and Eisenbud–Popescu. We examine the self-dual matroids and …
Generalized metric tree arrangements and Dressians
AK Tewari - arXiv preprint arXiv:2210.06868, 2022 - arxiv.org
Metric trees and metric tree arrangements index cones in the polyhedral fan structure in
Dressian Dr (2, n) and Dr (3, n) respectively. We study the adjacency of cones in Dressian Dr …
Dressian Dr (2, n) and Dr (3, n) respectively. We study the adjacency of cones in Dressian Dr …
Matroids over tropical extensions of tracts
B Smith - arXiv preprint arXiv:2406.03167, 2024 - arxiv.org
A tract $ F $ is an algebraic structure where multiplication is defined but addition is only
partially defined. They were introduced by Baker and Bowler as a unified framework to study …
partially defined. They were introduced by Baker and Bowler as a unified framework to study …
Lattice path matroidal subdivisions, Positive Tropical Grassmannian and Amplituhedron
AK Tewari, AU Ashraf - arXiv preprint arXiv:2307.04180, 2023 - arxiv.org
We introduce the notion of lattice path matroidal subdivisions, or LPM subdivisions for short,
and show that these subdivisions are regular and hence the weight vectors for them lie in …
and show that these subdivisions are regular and hence the weight vectors for them lie in …
Matroids with coefficients and F1-geometry
MZ Jarra - 2024 - research.rug.nl
University of Groningen Matroids with coefficients and F1-geometry Zanoelo Jarra, Manoel
Page 1 University of Groningen Matroids with coefficients and F1-geometry Zanoelo Jarra …
Page 1 University of Groningen Matroids with coefficients and F1-geometry Zanoelo Jarra …