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.

Author

Richard Lärkäng

Chalmers, Mathematical Sciences, Algebra and geometry

University of Gothenburg

Hossein Raufi

Chalmers, Mathematical Sciences, Algebra and geometry

University of Gothenburg

Jean Ruppenthal

Martin Sera

University of Gothenburg

Chalmers, Mathematical Sciences, Algebra and geometry

Subject Categories

Geometry

Mathematical Analysis

More information

Created

10/7/2017