Abstract
Transcendental holomorphic Morse inequalities aim at characterizing the positivity of transcendental cohomology classes of type (1, 1). In this paper, we prove a weak version of Demailly's conjecture on transcendental Morse inequalities on compact Kähler manifolds. And as a consequence, we partially improve a result of Boucksom-Demailly-Paun-Peternell.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1367-1379 |
| Number of pages | 13 |
| Journal | Annales de l'Institut Fourier |
| Volume | 65 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2015 |
Keywords
- Kähler manifolds
- Positivity of cohomology classes
- Transcendental holomorphic Morse inequalities
ASJC Scopus subject areas
- Algebra and Number Theory
- Geometry and Topology