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ADJUNCTION AND INVERSION OF ADJUNCTION

Part of: Projective and enumerative geometry Birational geometry

Published online by Cambridge University Press:  05 September 2022

OSAMU FUJINO Open the ORCID record for OSAMU FUJINO [Opens in a new window]  and
KENTA HASHIZUME Open the ORCID record for KENTA HASHIZUME [Opens in a new window]
OSAMU FUJINO
Affiliation:
Department of Mathematics, Graduate School of Science, Kyoto University, Kyoto 606-8502, Japan fujino@math.kyoto-u.ac.jp
KENTA HASHIZUME
Affiliation:
Department of Mathematics, Graduate School of Science, Kyoto University, Kyoto 606-8502, Japan hkenta@math.kyoto-u.ac.jp
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Abstract

We establish adjunction and inversion of adjunction for log canonical centers of arbitrary codimension in full generality.

Keywords

adjunctioninversion of adjunctionlog canonical centersgeneralized pairs

MSC classification

Primary: 14E30: Minimal model program (Mori theory, extremal rays)
Secondary: 14N30: Adjunction problems
Type
Article
Information
Nagoya Mathematical Journal , Volume 249 , March 2023 , pp. 119 - 147
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Copyright
© The Author(s), 2022. Published by Cambridge University Press on behalf of Foundation Nagoya Mathematical Journal

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Footnotes

Fujino was partially supported by JSPS KAKENHI Grant Numbers JP16H03925, JP16H06337, JP19H01787, JP20H00111, and JP21H00974. Hashizume was partially supported by JSPS KAKENHI Grant Numbers JP16J05875 and JP19J00046.

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