Shokurov's lower semicontinuity conjecture for minimal log discrepancies
Let be a normal -Gorenstein variety, and let be an -Weil divisor on such that is -Cartier. For each , let denote the set of points of dimension , and let
be the minimal-log-discrepancy function. Shokurov's lower semicontinuity conjecture. For each , the function on is lower semicontinuous.
This is the second conjecture in the paper's discussion of Shokurov's conjectures about minimal log discrepancies. The supplied text does not state whether it has been resolved.
References
Primary source
Christian Lehn and Gianluca Pacienza, “On the log minimal model program for irreducible symplectic varieties”, arXiv:1405.5649 (2014).
Additional references
2 papers in this index state this conjecture (2004–2014). The statement above is taken from the most recent of them; the others are arXiv:math/0409254.
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