From the 1 of 5 linked papers with an AI index.
5 papers
Matroid correspondence
Colin Crowley, Changxin Ding, Haoxi Hu +7
The paper introduces matroid correspondences, a functorial framework linking matroids and polymatroids, and shows how standard matroid operations arise from it while preserving rep…
Tree metrics and log-concavity for matroids
Federico Ardila-Mantilla, Sergio Cristancho, Graham Denham +3
We show that a set function satisfies the gross substitutes property if and only if its homogeneous generating polynomial is a Lorentzian polynomial for all positiv…
Bounded ratios for Lorentzian matrices
Daoji Huang, June Huh, Daniel Soskin +1
We study multiplicative inequalities among entries of Lorentzian matrices, referred to as bounded ratios. These inequalities can be viewed as generalizations of the classical Alexa…
Linear operators preserving volume polynomials
Lukas Grund, June Huh, Mateusz MichaÅek +2
Volume polynomials measure the growth of Minkowski sums of convex bodies and of tensor powers of positive line bundles on projective varieties. We show that Aluffi's covolume polyn…
Realizations of homology classes and projection areas
Daoji Huang, June Huh, Mateusz MichaÅek +2
The relationship between convex geometry and algebraic geometry has deep historical roots, tracing back to classical works in enumerative geometry. In this paper, we continue this…