English

Movable intersection and bigness criterion

Complex Variables 2016-08-01 v4 Algebraic Geometry

Abstract

In this note, we give a Morse-type bigness criterion for the difference of two pseudo-effective (1,1)(1,1)-classes by using movable intersections. As an application, we give a Morse-type bigness criterion for the difference of two movable (n1,n1)(n-1,n-1)-classes.

Cite

@article{arxiv.1405.1582,
  title  = {Movable intersection and bigness criterion},
  author = {Jian Xiao},
  journal= {arXiv preprint arXiv:1405.1582},
  year   = {2016}
}

Comments

v4: some arguments corrected and simplified, references updated

R2 v1 2026-06-22T04:08:07.175Z