CYLINDERS IN THE MORI FIBRATIONS: FORMS OF QUINTIC VOLUME OF PEZZO
| Affiliation auteurs | Affiliation ok |
| Titre | CYLINDERS IN THE MORI FIBRATIONS: FORMS OF QUINTIC VOLUME OF PEZZO |
| Type de publication | Journal Article |
| Year of Publication | 2019 |
| Auteurs | Dubouloz A, Kishimoto T |
| Journal | ANNALES DE L INSTITUT FOURIER |
| Volume | 69 |
| Pagination | 2377-2393 |
| Type of Article | Article |
| ISSN | 0373-0956 |
| Mots-clés | Cylindres, Fibrations de Mori, Involutions de Cremona, Liens de Sarkisov, Volumes de Fano |
| Résumé | Motivated by the general question of existence of open A(1)-cylinders in higher dimensional projective varieties, we consider the case of Mori Fiber Spaces of relative dimension three, whose general closed fibers are isomorphic to the quintic del Pezzo threefold, the smooth Fano threefold of index two and degree five. We show that the total spaces of these Mori Fiber Spaces always contain a relative A(2)-cylinder, and we characterize those admitting relative A(3)-cylinders in terms of the existence of certain special lines in their generic fiber. |