Vanishing theorems for generalized pairs

Autor:	Chen, Bingyi, Liu, Jihao, Xie, Lingyao
Rok vydání:	2023
Předmět:	Mathematics - Algebraic Geometry 14E30 14B05
Druh dokumentu:	Working Paper
Popis:	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
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2305.12337 Zobrazit plný text záznamu View this record from Arxiv