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math.AG2016
Newton-Okounkov Bodies over Discrete Valuation Rings and Linear Systems on Graphs
Eric Katz, Stefano Urbinati
The theory of Newton-Okounkov bodies attaches a convex body to a line bundle on a variety equipped with flag of subvarieties. This convex body encodes the asymptotic properties of…
math.AG2014★ 5 cited
Matroid theory for algebraic geometers
Eric Katz
This article is a survey of matroid theory aimed at algebraic geometers. Matroids are combinatorial abstractions of linear subspaces and hyperplane arrangements. Not all matroids c…