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EFFECTIVE BOUNDS FOR THE NUMBER OF MMP-SERIES OF A SMOOTH THREEFOLD

Part of: Surfaces and higher-dimensional varieties Birational geometry

Published online by Cambridge University Press:  18 December 2020

DILETTA MARTINELLI
DILETTA MARTINELLI*
Affiliation:
Kortweg-de Vries Institute for Mathematics, Universiteit van Amsterdam, P.O. Box 94248, 1090 GE, Amsterdam, Netherlands e-mail: d.martinelli@uva.nl
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Abstract

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We prove that the number of MMP-series of a smooth projective threefold of positive Kodaira dimension and of Picard number equal to three is at most two.

MSC classification

Primary: 14E30: Minimal model program (Mori theory, extremal rays)
Secondary: 14J30: $3$-folds
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 64 , Issue 1 , January 2022 , pp. 106 - 113
Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright
© The Author(s), 2020. Published by Cambridge University Press on behalf of Glasgow Mathematical Journal Trust

References

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