Vanishing theorems for generalized pairs
- Resource Type
- Working Paper
- Authors
- Chen, Bingyi; Liu, Jihao; Xie, Lingyao
- Source
- Subject
- Mathematics - Algebraic Geometry
14E30, 14B05
- Language
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.
Comment: 12 pages