2 papers
math.CO2025
Excluding a line from -representable matroids
Jim Geelen, Peter Nelson, Zach Walsh
For each positive integer and each sufficiently large integer , we show that the maximum number of elements of a simple, rank-, -representable matroid with no…
math.CO2024
A Sylvester-Gallai-type theorem for complex-representable matroids
Jim Geelen, Matthew E. Kroeker
The Sylvester-Gallai Theorem states that every rank- real-representable matroid has a two-point line. We prove that, for each , every complex-representable matroid with…