Regularity of the volume function
Algebraic Geometry
2026-03-06 v2 Complex Variables
Abstract
We prove the optimal regularity of the volume function on the big cone of a projective manifold, and investigate its regularity when restricted to segments moving in ample directions.
Cite
@article{arxiv.2505.14495,
title = {Regularity of the volume function},
author = {Junyu Cao and Valentino Tosatti},
journal= {arXiv preprint arXiv:2505.14495},
year = {2026}
}
Comments
11 pages; final version to appear in Bull. Lond. Math. Soc