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Transcendental Morse inequality on Kähler manifolds
Abstract
We prove the transcendental Morse inequality conjecture of Boucksom-Demailly-Păun-Peternell. Among the corollaries of this result, this proves orthogonality of divisorial Zariski decompositions, shows that the pseudoeffective and movable cones are dual, and establishes the differentiability of the volume function on the big cone, on all compact Kähler manifolds.
Related
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BibTeX
@misc{tosatti2026transcendental,
title = {{Transcendental Morse inequality on Kähler manifolds}},
author = {Valentino Tosatti},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2608.30153},
eprint = {2608.30153},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.30153},
}
RIS
TY - UNPB
TI - Transcendental Morse inequality on Kähler manifolds
AU - Valentino Tosatti
PY - 2026
DA - 2026/09/08
PB - arXiv
DO - 10.48550/arxiv.2608.30153
UR - https://arxiv.org/abs/2608.30153
AB - We prove the transcendental Morse inequality conjecture of Boucksom-Demailly-Păun-Peternell. Among the corollaries of this result, this proves orthogonality of divisorial Zariski decompositions, shows that the pseudoeffective and movable cones are dual, and establishes the differentiability of the volume function on the big cone, on all compact Kähler manifolds.
ER -