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Inversion of adjunction for non-degenerate hypersurfaces

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Abstract.

 We prove a precise inversion of adjunction formula for the log variety (ℂd +1,X), where X is a non-degenerate hypersurface. As a corollary, the minimal log discrepancies of non-degenerate normal hypersurface singularities are bounded by dimension.

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Tokyo, Komaba, Meguro-Ku,Tokyo 153-8914, Japan. e-mail: ambro@ms.u-tokyo.ac.jp, , , , , , JP

    Florin Ambro

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  1. Florin Ambro
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Received: 17 September 2002 / Revised version: 22 November 2002 Published online: 14 February 2003

Current address: DPMMS, CMS, University of Cambridge, Wilberforce Road, Cambridge CB3 0WB, England. e-mail: f.ambro@dpmms.cam.ac.uk

Mathematics Subject Classification (2000): Primary 14B05; Secondary 14M25, 52B20

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Ambro, F. Inversion of adjunction for non-degenerate hypersurfaces. manuscripta math. 111, 43–49 (2003). https://doi.org/10.1007/s00229-002-0351-3

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  • DOI: https://doi.org/10.1007/s00229-002-0351-3

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