On finiteness of log canonical models
Abstract
Let $(X, \Delta)/U$ be klt pairs and $Q$ be a convex set of divisors. Assuming that the relative Kodaira dimensions are non-negative, then there are only finitely many log canonical models when the boundary divisors varying in a relatively compact rational polytope in $Q$. As a consequence, we show the existence of the log canonical model for a klt pair $(X, \Delta)/U$ with real coefficients.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2020
- DOI:
- 10.48550/arXiv.2006.01370
- arXiv:
- arXiv:2006.01370
- Bibcode:
- 2020arXiv200601370L
- Keywords:
-
- Mathematics - Algebraic Geometry
- E-Print:
- 23 pages