On Finiteness of B-representatoin and Semi-log Canonical Abundance

Details On Finiteness of B-representatoin and Semi-log Canonical Abundance On Finiteness of B-representatoin and Semi-log Canonical Abundance

2011-07-21

arxiv.org/abs/1107.4149v1

Mathematics

Algebraic Geometry

13 pages. Comments are welcome!

Scientific paper

We give a new proof of the finiteness of B-representations. As a consequence
of the finiteness of B-representations and Koll\'ar's gluing theory on lc
centers, we prove that the (relative) abundance conjecture for slc pairs is
implied by the abundance conjecture for log canonical pairs.

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