2134/21842
Hamid Ahmadinezhad
Francesco Zucconi
Circle of Sarkisov links on a Fano 3-fold
2016
Loughborough University
Birational automorphism
Fano varieties
Sarkisov program
Variation of geometric invariant theory
2016-06-27 13:34:22
article
https://repository.lboro.ac.uk/articles/journal_contribution/Circle_of_Sarkisov_links_on_a_Fano_3-fold/9386513
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.