Work

Vanishing theorems for generalized pairs

Year: 2023

Type: preprint

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 Kollár's gluing theory.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2305.12337

Authors: Chen, Bingyi, Liu, Jihao, Xie, Lingyao

Institutions: Northwestern University, University of Utah

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Fudan University, Tsinghua University

Awards: FRG: Collaborative Research: Algebraic Geometry and Singularities in Positive and Mixed Characteristic, Birational Algebraic Geometry in Characteristic Zero and Positive Characteristic

OpenAlex ID: W4377864156

Cites:

Cited by:

Related to: 10