Abstract
We discuss the ideal-adic semi-continuity problem for minimal log discrepancies by Mustaţă. We study the purely log terminal case, and prove the semi-continuity of minimal log discrepancies when a Kawamata log terminal triple deforms in the ideal-adic topology.
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Acknowledgments
This research has originated in the problem of Professor M. Mustaţă. I was asked it at the workshop at MSRI in 2007, and discussed with him during my visit at University of Michigan in 2009. I really appreciate his approval of introducing his problem and observation. I am also grateful to him for valuable discussions and cordial hospitality. Finally, I should like to acknowledge the detailed comments of the referee.
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Partial support was provided by Grant-in-Aid for Young Scientists (A) 20684002.
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Kawakita, M. Ideal-adic semi-continuity problem for minimal log discrepancies. Math. Ann. 356, 1359–1377 (2013). https://doi.org/10.1007/s00208-012-0885-y
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DOI: https://doi.org/10.1007/s00208-012-0885-y