On non-rigid del Pezzo fibrations of low degree
Ahmadinezhad, Hamid
arXiv, 1010.4774 / Harvested from arXiv
Text on arXiv
We consider $\mathbb{P}(1,1,1,2)$ bundles over $\mathbb{P}^1$ and construct hypersurfaces of these bundles which form a degree 2 del Pezzo fibration over $\mathbb{P}^1$ as a Mori fibre space. We classify all such hypersurfaces whose type $\III$ or $\IV$ Sarkisov links pass to a different Mori fibre space. A similar result for cubic surface fibrations over $\mathbb{P}^2$ is also presented.
Publié le : 2010-10-22
Classification:  Mathematics - Algebraic Geometry 
@article{1010.4774,
     author = {Ahmadinezhad, Hamid},
     title = {On non-rigid del Pezzo fibrations of low degree},
     journal = {arXiv},
     volume = {2010},
     number = {0},
     year = {2010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1010.4774}
}

Ahmadinezhad, Hamid. On non-rigid del Pezzo fibrations of low degree. arXiv, Tome 2010 (2010) no. 0, . http://gdmltest.u-ga.fr/item/1010.4774/