Cylinders in weak del Pezzo fibrations
| Autor: | Sawahara, Masatomo |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Transform. Groups 28 (2023) 413-437 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s00031-022-09730-y |
| Popis: | In this article, we shall look into the existence of vertical cylinders contained in a weak del Pezzo fibration as a generalization of the former work due to Dubouloz and Kishimoto in which they observed that of vertical cylinders found in del Pezzo fibrations. The essence lying in the existence of a cylinder in the generic fiber, we devote mainly ourselves into a geometry of minimal weak del Pezzo surfaces defined over a field of characteristic zero from the point of view of cylinders. As a result, we give the classification of minimal weak del Pezzo surfaces defined over a field of characteristic zero, moreover, we show that weak del Pezzo fibrations containing vertical cylinders are quite restrictive. Comment: 21 pages; v3: Corrected some errors and revised based on the referee's suggestions; Accepted by Transform. Groups |
| Databáze: | arXiv |
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