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.
Published inProceedings of the Edinburgh Mathematical Society
Pages1 - 16
CitationAHMADINEZHAD, 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.
VersionAM (Accepted Manuscript)
Publisher statementThis 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/
NotesThis 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.