Uniform rational polytopes for Iitaka dimensions
Algebraic Geometry
2022-08-10 v1
Abstract
In this paper, we continue to develop the theories on functional pairs and uniform rational polytopes. We show that there is a uniform perturbation for Iitaka dimensions of pseudo-effective lc pairs of fixed dimension with DCC coefficients assuming the non-vanishing conjecture. We also show the existence of uniform rational polytopes for Iitaka dimensions of pseudo-effective lc pairs assuming the non-vanishing conjecture.
Keywords
Cite
@article{arxiv.2208.04663,
title = {Uniform rational polytopes for Iitaka dimensions},
author = {Guodu Chen and Jingjun Han and Jihao Liu},
journal= {arXiv preprint arXiv:2208.04663},
year = {2022}
}
Comments
17 pages. Dedicated to Prof. Vyacheslav V. Shokurov on the occasion of his seventieth birthday