Vanishing theorems for generalized pairs
Algebraic Geometry
2023-05-23 v1
Abstract
We establish the Kodaira vanishing theorem and the Kawamata-Viehweg vanishing theorem for lc generalized pairs. As a consequence, we provide a new proof of the base-point-freeness theorem for lc generalized pairs. This new approach allows us to prove the contraction theorem for lc generalized pairs without using Koll\'ar's gluing theory.
Keywords
Cite
@article{arxiv.2305.12337,
title = {Vanishing theorems for generalized pairs},
author = {Bingyi Chen and Jihao Liu and Lingyao Xie},
journal= {arXiv preprint arXiv:2305.12337},
year = {2023}
}
Comments
12 pages