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- W4293834822 abstract "A frame template over a field $mathbb F$ describes the precise way in which a given $mathbb F$-representable matroid is close to being a frame matroid. Our main result determines the maximum-rank projective or affine geometry that is described by a given frame template over a prime field. Subject to the matroid minors hypothesis of Geelen, Gerards, and Whittle, we use our result to determine, for each projective or affine geometry $N$ over a prime field $mathbb F$, a best-possible upper bound on the number of elements in a simple $mathbb F$-representable matroid $M$ of sufficiently large rank with no $N$-minor." @default.
- W4293834822 created "2022-08-31" @default.
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- W4293834822 date "2022-08-31" @default.
- W4293834822 modified "2023-09-25" @default.
- W4293834822 title "The Extremal Function for Excluding Geometry Minors over Prime Fields" @default.
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- W4293834822 doi "https://doi.org/10.1137/21m1410750" @default.
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