On the Fujita-Zariski decomposition on threefolds

Abstract

We prove that, on a smooth threefold, pseudoeffective divisors with closed and one-dimensional diminished base locus have birationally a Fujita-Zariski decomposition.

The proof of the main theorems, namely Theorem 1.2 and 1.3, is not correct. The technical results (Theorem 3.3) remain valid and will be the object of a paper

References in corpus (2)

• The diminished base locus is not always closed
• On log minimal models and Zariski decompositions II