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arXiv · 1812.08692

Matroids over one-dimensional groups

Guus P. Bollen·Dustin Cartwright·Jan Draisma
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Abstract

We develop the theory of matroids over one-dimensional algebraic groups, with special emphasis on positive characteristic. In particular, we compute the Lindström valuations and Frobenius flocks of such matroids. Building on work by Evans and Hrushovski, we show that the class of algebraic matroids, paired with their Lindström valuations, is not closed under duality of valuated matroids.

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Guus P. Bollen, Dustin Cartwright, Jan Draisma. 2020-03-18. Matroids over one-dimensional groups. https://doi.org/10.1093/imrn%2Frnaa175

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