Quelques remarques sur la décomposition de Zariski divisorielle sur les variétés dont la première classe de Chern est nulle

Abstract

We study the divisorial Zariski decomposition on varieties whose first Chern class is zero. We first prove that any exceptional divisor is contractible (up to a birational map that is an isomorphism in codimension one). We then characterize prime exceptional divisors on holomorphic symplectic manifolds.

11 pages, french

Cited by in corpus (2)

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• Semi-stable minimal model program for varieties with trivial canonical divisor