Abstract

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.

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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 637-662
Launched on MUSE
2013-05-30
Open Access
No
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