Computations of Mather Minimal Log Discrepancies

[摘要] Shokurov proved that certain conjectures for Minimal Log Discrepancy imply the termination of Minimal Model Program. The effort towards proving those conjectures directly has not been very successful. In this context, the notion of Mather Minimal Log Discrepancy was introduced by Ishii in recent papers, in a way similar to the usual Minimal Log Discrepancy. It is not surprising that their properties are closely related, as shown in some recent papers. In this thesis, we compute this invariant via jet schemes and arc spaces for toric varieties and very general hypersurfaces.

[发布机构] University of Michigan

[效力级别] Jet scheme

[关键词] Mather minimal log discrepancy;Jet scheme;Arc space;Mathematics;Science;Mathematics