Circle of Sarkisov links on a Fano 33-fold

preprint2014arXivOpen access

Abstract

For a general Fano 33-fold of index 11 in the weighted projective space P(1,1,1,1,2,2,3)\mathbb{P}(1,1,1,1,2,2,3) we construct 22 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, visualising the notion of relations (due to Kaloghiros) in Sarkisov program.

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