Calculating the parabolic Chern character of a locally abelian parabolic bundle

Chadi Taher (1)

1 JAD - Laboratoire Jean Alexandre Dieudonné

We 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 $ch_2$.

Domaines: Géométrie algébrique [math.AG]

Chadi Taher. Calculating the parabolic Chern character of a locally abelian parabolic bundle. 2009. ⟨hal-00373618⟩