Calculating the parabolic Chern character of a locally abelian parabolic bundle

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/225972We calculate the parabolic Chern character of a bundle with locally abelian parabolic structure on a smooth strict normal crossings divisor, using the definition in terms of Deligne-Mumford stacks. We obtain explicit formulas for $ch_1$, $ch_2$ and $ch_3$, and verify that these correspond to the formulas given by Borne for $ch_1$ and Mochizuki for $ch_2$.Algebraic GeometryCalculating the parabolic Chern character of a locally abelian parabolic bundletext