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- W2727950058 abstract "In this paper we address two of the major foundational questions in the theory of matroids over rings. First, we provide a cryptomorphic axiomatisation, by introducing an analogue of the base polytope for matroids. Second, we describe a parameter space for matroids over a valuation ring, which turns out to be a tropical version of the Bott-Samelson varieties for the full flag variety. Thus a matroid over a valuation ring is a sequence of flags of tropical linear spaces a.k.a. valuated matroids." @default.
- W2727950058 created "2017-07-14" @default.
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- W2727950058 date "2017-07-04" @default.
- W2727950058 modified "2023-09-27" @default.
- W2727950058 title "Polyhedra and parameter spaces for matroids over valuation rings" @default.
- W2727950058 hasPublicationYear "2017" @default.
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