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Mori dream spaces and birational rigidity of Fano 3-folds

journal contribution
posted on 20.06.2016 by Hamid Ahmadinezhad, Francesco Zucconi
© 2016 Elsevier Inc.We highlight a relation between the existence of Sarkisov links and the finite generation of (certain) Cox rings. We introduce explicit methods to use this relation in order to prove birational rigidity statements. To illustrate, we complete the birational rigidity results of Okada for Fano complete intersection 3-folds in singular weighted projective spaces.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Advances in Mathematics

Volume

292

Pages

410 - 445

Citation

AHMADINEZHAD, H. and ZUCCONI, F., 2016. Mori dream spaces and birational rigidity of Fano 3-folds. Advances in Mathematics, 292, pp. 410-445.

Publisher

© Elsevier

Version

AM (Accepted Manuscript)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2016

Notes

This paper is in closed access until 10th Feb 2017.

ISSN

0001-8708

eISSN

1090-2082

Language

en

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