For a general Fano 3-fold of index 1 in the weighted projective space (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.

Circle of Sarkisov Links on a Fano 3-fold

ZUCCONI, Francesco
2017

Abstract

For a general Fano 3-fold of index 1 in the weighted projective space (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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11390/1083700
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