Remarks on the abundance conjecture

Abstract

We prove the abundance theorem for log canonical $n$-folds such that the boundary divisor is big assuming the abundance conjecture for log canonical $(n-1)$-folds. We also discuss the log minimal model program for log canonical $4$-folds.

11 pages

References in corpus (1)

• Finite generation of adjoint ring for log surfaces

Cited by in corpus (2)

• The LMMP for log canonical 3-folds in char $p$
• Minimal model theory for relatively trivial log canonical pairs