Tohoku Mathematical Journal
2019
March
SECOND SERIES VOL. 71, NO. 1

Tohoku Math. J.
71 (2019), 1-8

Title ORTHOGONALITY OF DIVISORIAL ZARISKI DECOMPOSITIONS FOR CLASSES WITH VOLUME ZERO

Author Valentino Tosatti

(Received June 27, 2016, revised August 8, 2016)
Abstract. We show that the orthogonality conjecture for divisorial Zariski decompositions on compact Kähler manifolds holds for pseudoeffective (1,1) classes with volume zero.

Mathematics Subject Classification. Primary 32J25; Secondary 14C20, 53C55.
Key words and phrases. Divisorial Zariski decomposition, pseudoeffective cone, (1,1) classes, orthogonality conjecture.

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