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

• 川北, 真之

抄録

We introduce an approach via the 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 the minimal log discrepancy is bounded if either multiplicity or embedding dimension is bounded. Secondly we recover the characterization of a Gorenstein terminal three-fold singularity by Reid, and the sharp bound for its minimal log discrepancy by Markushevich, without explicit classification. Finally we provide the sharp bound for a special four-fold singularity, whose general hyperplane section has a terminal piece.

収録刊行物

• American Journal of Mathematics

  American Journal of Mathematics 133 (5), 1299-1311, 2011-10

  The Johns Hopkins University Press

キーワード

• General Mathematics

詳細情報

• CRID: 1050282810700289920
• NII論文ID: 120003517899
• NII書誌ID: AA00520720
• ISSN: 00029327
• ISSN: 10806377
• ISSN: http://id.crossref.org/issn/00029327
• DOI: 10.1353/ajm.2011.0037
• HANDLE: 2433/149223
• 本文言語コード: en
• 資料種別: journal article
• データソース種別:
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