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arXiv · 2208.04663

Uniform rational polytopes for Iitaka dimensions

Guodu Chen·Jingjun Han·Jihao Liu
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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.

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Guodu Chen, Jingjun Han, Jihao Liu. 2022-08-09. Uniform rational polytopes for Iitaka dimensions. https://arxiv.org/abs/2208.04663

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