Fujino's Du Bois singularities conjecture for qlc pairs

Let [X,ω][X,\omega] be a qlc pair, meaning a quasi-log canonical pair. The underlying scheme is denoted by XX.

Du Bois singularities conjecture. XX has only Du Bois singularities.

This conjecture is presented as a complete generalization of a result of Kollár and is reduced in the source to the case where XX is normal. Its resolution would relate quasi-log canonical structures to the Du Bois property of the underlying scheme.

Sources & referencesView supporting material

Primary source

Osamu Fujino and Haidong Liu, “On normalization of quasi-log canonical pairs”, arXiv:1711.10060 (2018).

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