Towards boundedness of minimal log discrepancies by Riemann--Roch theorem

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dc.creatorKawakita, Masayuki
dc.date2009-03-03
dc.date.accessioned2026-07-07T12:48:34Z
dc.date.available2026-07-07T12:48:34Z
dc.descriptionWe introduce an approach of Riemann--Roch theorem to the boundedness problem of minimal log discrepancies in fixed dimension. After reducing it to the case of a Gorenstein terminal singularity, firstly we prove that its minimal log discrepancy is bounded if either multiplicity or embedding dimension is bounded. Secondly we recover the characterisation of a Gorenstein terminal three-fold singularity by Reid, and the precise boundary of its minimal log discrepancy by Markushevich, without explicit classification. Finally we provide the precise boundary for a special four-fold singularity, whose general hyperplane section has a terminal piece.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0903.0418
dc.identifierhttp://arxiv.org/abs/0903.0418
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222098
dc.subjectAlgebraic Geometry
dc.subject14B05, 14E30, 14J17
dc.titleTowards boundedness of minimal log discrepancies by Riemann--Roch theorem
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