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On the B-semiampleness conjecture

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Floris,  Enrica
Max Planck Institute for Mathematics, Max Planck Society;

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Floris, E., & Lazić, V. (2019). On the B-semiampleness conjecture. Épijournal de Géométrie Algébrique, 3: 12.


Cite as: http://hdl.handle.net/21.11116/0000-0005-1B17-4
Abstract
The B-Semiampleness Conjecture of Prokhorov and Shokurov predicts that the moduli part in a canonical bundle formula is semiample on a birational modification. We prove that the restriction of the moduli part to any sufficiently high divisorial valuation is semiample, assuming the conjecture in lower dimensions.