2025/03/23 by Grund, Lukas, Süß, Hendrik · 1 citation
#05B35 (Secondary) #14C17 (Primary) 52C35 #Algebraic Geometry (math.AG) #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.2503.18146
We study linear operators preserving the property of being a volume polynomial. More, precisely we show that a linear operator preserves this property if the associated symbol is itself a volume polynomial. This can be seen as an analogue to theorems by Borcea-Brändén and Brändén-Huh for stable polynomials and Lorentzian polynomials, respectively.