-
Restricted volumes and divisorial Zariski decompositions
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 135, Number 3, June 2013
- pp. 637-662
- 10.1353/ajm.2013.0030
- Article
- Additional Information
- Purchase/rental options available:
We give a relation between the existence of a Zariski decomposition and the behavior
of the restricted volume of a big divisor on a smooth (complex) projective variety.
Moreover, we give an analytic description of the restricted volume in the line of
Boucksom's work. It enables us to define the restricted volume of a transcendental
class on a compact K\"ahler manifold in a natural way. The relation can be extended
to a transcendental class.