Circle of Sarkisov links on a Fano $3$-fold

Hamid Abban; Francesco Zucconi

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arXiv · 1304.6009

Circle of Sarkisov links on a Fano $3$-fold

Hamid Abban·Francesco Zucconi

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Abstract

For a general Fano $3$-fold of index $1$ in the weighted projective space $\mathbb{P}(1,1,1,1,2,2,3)$ we construct $2$ 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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Hamid Abban, Francesco Zucconi. 2013-04-22. Circle of Sarkisov links on a Fano $3$-fold. https://arxiv.org/abs/1304.6009

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