Remarks on the abundance conjecture

2015/09/15 by Hashizume, Kenta
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1509.04626

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.

Related

• Abundance theorem for numerically trivial log canonical divisors of\n semi-log canonical pairs
• On Finiteness of B-representation and Semi-log Canonical Abundance
• Non-vanishing implies numerical dimension one abundance
• On the Log Abundance for Compact Kähler 3-folds
• An abundance theorem for generalised pairs