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arXiv · 1107.4149

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

Christopher Hacon·Chenyang Xu
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Abstract

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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Christopher Hacon, Chenyang Xu. 2011-07-21. On Finiteness of B-representation and Semi-log Canonical Abundance. https://arxiv.org/abs/1107.4149

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