Polyhedra and parameter spaces for matroids over valuation rings

Autor:	Fink, Alex, Moci, Luca
Rok vydání:	2017
Předmět:	Mathematics - Combinatorics Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	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. Comment: 38pp. v2 fixes typos and a few small unclarities
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1707.01026 Zobrazit plný text záznamu View this record from Arxiv