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INVARIANCE OF CERTAIN PLURIGENERA FOR SURFACES IN MIXED CHARACTERISTICS

Part of: Surfaces and higher-dimensional varieties Birational geometry

Published online by Cambridge University Press:  16 January 2020

ANDREW EGBERT  and
CHRISTOPHER D. HACON
ANDREW EGBERT
Affiliation:
Department of Mathematics, University of Utah, Salt Lake City, UT84112, USA email AndrewEg2@outlook.com
CHRISTOPHER D. HACON
Affiliation:
Department of Mathematics, University of Utah, Salt Lake City, UT84112, USA email hacon@math.utah.edu
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Abstract

We prove the deformation invariance of Kodaira dimension and of certain plurigenera and the existence of canonical models for log surfaces which are smooth over an integral Noetherian scheme $S$.

MSC classification

Primary: 14J10: Families, moduli, classification 14E30: Minimal model program (Mori theory, extremal rays)

Information

Type
Article
Information
Nagoya Mathematical Journal , Volume 243 , September 2021 , pp. 1 - 10
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Copyright
© 2020 Foundation Nagoya Mathematical Journal

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Footnotes

The second author was partially supported by NSF research grants no: DMS-1300750, DMS-1265285, by a grant from the Simons Foundation; Award Number: 256202 and by the Research Institute for Mathematical Sciences, a Joint Usage/Research Center located in Kyoto University. The authors are grateful to an anonymous referee for many useful suggestions.

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