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Mori dream spaces and birational rigidity of Fano 3-folds

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journal contribution
posted on 20.06.2016, 12:53 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 paper was accepted for publication in the journal Advances in Mathematics and the definitive published version is available at https://doi.org/10.1016/j.aim.2016.01.008

Acceptance date

26/01/2016

Publication date

2016-02-10

Copyright date

2016

ISSN

0001-8708

eISSN

1090-2082

Language

en

Exports