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math.AG2026
Volume polynomials
June Huh
Volume polynomials form a distinguished class of log-concave polynomials with remarkable analytic and combinatorial properties. I will survey realization problems related to them,…
math.AG2025
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…
math.AG2025
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…