Quantized volume comparison for Fano manifolds
Algebraic Geometry
2025-04-15 v3
Abstract
A result of Kento Fujita says that the volume of a K\"ahler-Einstein Fano manifold is bounded from above by the volume of the projective space. In this short note we establish quantized versions of Fujita's result.
Cite
@article{arxiv.2503.16766,
title = {Quantized volume comparison for Fano manifolds},
author = {Kewei Zhang},
journal= {arXiv preprint arXiv:2503.16766},
year = {2025}
}
Comments
v3: final version, to appear in Proc. Amer. Math. Soc