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Circle of Sarkisov links on a Fano 3-fold

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journal contribution
posted on 27.06.2016, 13:34 by Hamid Ahmadinezhad, Francesco Zucconi
For a general Fano 3-fold of index 1 in the weighted projective space ℙ(1, 1, 1, 1, 2, 2, 3) we construct two new birational models that are Mori fibre spaces in the framework of the so-called Sarkisov program. We highlight a relation between the corresponding birational maps, as a circle of Sarkisov links, visualizing the notion of relations in the Sarkisov program.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Proceedings of the Edinburgh Mathematical Society

Pages

1 - 16

Citation

AHMADINEZHAD, H. and ZUCCONI, F., 2017. Circle of Sarkisov Links on a Fano 3-fold. Proceedings of the Edinburgh Mathematical Society, 60(1), pp.1-16.

Publisher

© The Edinburgh Mathematical Society. Published by Cambridge University Press.

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

2017

Notes

This paper was accepted for publication in the journal Proceedings of the Edinburgh Mathematical Society and the definitive published version is available at http://dx.doi.org/10.1017/S0013091516000122.

ISSN

0013-0915

Language

en

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