Back to Search
Start Over
Vanishing theorems for generalized pairs
- Publication Year :
- 2023
-
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.<br />Comment: 12 pages
- Subjects :
- Mathematics - Algebraic Geometry
14E30, 14B05
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2305.12337
- Document Type :
- Working Paper