Effective log canonical boundary conjecture for normal quasi-projective qlc pairs
Effective log canonical boundary conjecture for normal quasi-projective qlc pairs
Let be a qlc pair, where is a quasi-projective normal scheme. An effective -divisor on is a divisor with rational coefficients. A pair is log canonical when it has log canonical singularities.
Effective log canonical boundary conjecture. There exists an effective -divisor on such that is log canonical.
This is posed as a conjecture for normal qlc pairs. It asks whether every quasi-projective normal qlc pair admits an effective boundary making the underlying pair log canonical; the supplied source does not state a resolution.
Sources & referencesView supporting material
Primary source
Osamu Fujino and Haidong Liu, “On normalization of quasi-log canonical pairs”, arXiv:1711.10060 (2018).
Additional references
2 papers in this index state this conjecture (2015–2017). The statement above is taken from the most recent of them; the others are arXiv:1509.07268.
Progress summary
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