Chern forms of singular metrics on vector bundles
Preprint, 2016

We study singular hermitian metrics on holomorphic vector bundles, following Berndtsson-Păun. Previous work by Raufi has shown that for such metrics, it is in general not possible to define the curvature as a current with measure coefficients. In this paper we show that despite this, under appropriate codimension restrictions on the singular set of the metric, it is still possible to define Chern forms as closed currents of order 0 with locally finite mass.

Författare

Richard Lärkäng

Chalmers, Matematiska vetenskaper, Algebra och geometri

Göteborgs universitet

Hossein Raufi

Chalmers, Matematiska vetenskaper, Algebra och geometri

Göteborgs universitet

Jean Ruppenthal

Martin Sera

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Algebra och geometri

Ämneskategorier

Geometri

Matematisk analys