A counterexample is constructed to the semi-log canonical abundance conjecture for compact Kähler threefolds, while abundance holds for semi-dlt pairs and for slc pairs with positive Kodaira dimension on all normalization components.
Lin, Algebraic approximations of fibrations in abelian varieties over a curve , J
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Failure of the semi log canonical Abundance for compact K\"{a}hler threefolds
A counterexample is constructed to the semi-log canonical abundance conjecture for compact Kähler threefolds, while abundance holds for semi-dlt pairs and for slc pairs with positive Kodaira dimension on all normalization components.