5 citations · 27 across the 31 of their papers we have counts for
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Spectral sequences, Massey products and homology of covering spaces
Yongqiang Liu, Laurentiu Maxim, Botong Wang
We revisit the equivariant spectral sequence considered by Papadima-Suciu, and show that all its differentials are computed by higher order Massey products. As a first application,…
Maximal twisted Betti numbers of complex hyperplane arrangement complements
Yongqiang Liu, Laurentiu Maxim, Botong Wang
We show that the Betti numbers of a local system on the complement of an essential complex hyperplane arrangement are maximized precisely when the local system is constant. This re…
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 Michałek +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 Michałek +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…