On isolated log canonical centers

DOI10.1215/21562261-2693406zbMath1435.14006arXiv1304.4173OpenAlexW1984952153MaRDI QIDQ2258606

Chih-Chi Chou

Publication date: 26 February 2015

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.4173

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Vanishing theorems in algebraic geometry (14F17) Complex surface and hypersurface singularities (32S25) Local cohomology and algebraic geometry (14B15) Minimal model program (Mori theory, extremal rays) (14E30)

Cites Work

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• On isolated Gorenstein singularities
• Limits of stable pairs
• A local version of the Kawamata-Viehweg vanishing theorem
• Irrational centers
• A remark on Kovács's vanishing theorem
• Non-rational centers of log canonical singularities
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• Some remarks on the minimal model program for log canonical pairs
• On isolated log canonical singularities with index one
• Hodge theory meets the minimal model program: a survey of log canonical and Du Bois singularities
• Log canonical singularities are Du Bois

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