Movable intersection and bigness criterion

Abstract

In this note, we give a Morse-type bigness criterion for the difference of two pseudo-effective $(1,1)$-classes by using movable intersections. As an application, we give a Morse-type bigness criterion for the difference of two movable $(n-1,n-1)$-classes.

v4: some arguments corrected and simplified, references updated

References in corpus (3)

• Weak transcendental holomorphic Morse inequalities on compact Kähler manifolds
• Transcendental Morse Inequality and Generalized Okounkov Bodies
• Mobile Product and Zariski decomposition

Cited by in corpus (2)

• Positivity functions for curves on algebraic varieties
• A remark on the convergence of inverse ${\sigma }_k$-flow