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Birational Mori fiber structures of ℚ-Fano 3-fold weighted complete intersections, II

  • Takuzo Okada EMAIL logo
Published/Copyright: September 19, 2015

Abstract

In [T. Okada, Birational Mori fiber structures of -Fano 3-fold weighted complete intersection, Proc. Lond. Math. Soc. (3) 109 2014, 6, 1549–1600], we proved that, among 85 families of -Fano threefold weighted complete intersections of codimension two, 19 families consist of birationally rigid varieties and the remaining families consists of birationally non-rigid varieties. The aim of this paper is to study systematically the remaining families and prove that every quasismooth member of 14 families is birational to another -Fano threefold but not birational to any other Mori fiber space.

Award Identifier / Grant number: 24840034

Award Identifier / Grant number: 26800019

Funding statement: The author is partially supported by JSPS KAKENHI grant numbers 24840034 and 26800019.

Acknowledgements

The author would like to thank the referees for careful reading the manuscript, pointing out errors and useful suggestions.

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Received: 2014-4-2
Revised: 2015-5-18
Published Online: 2015-9-19
Published in Print: 2018-5-1

© 2018 Walter de Gruyter GmbH, Berlin/Boston

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