On Bernstein–Sato ideals for central line arrangements
On Bernstein–Sato ideals for central line arrangements
The polynomial α=xy∏i=3m(aix+y)∈C[x,y] determines a plane central line arrangement α = 0. We compute explicitly multivariate Bernstein–Sato ideals of α by using the decomposition behavior of the D2-module Mαβ=C[x,y,1/α]αβ given in earlier work by the authors. Our results are partially special cases of recent work in much greater generality, by …