Arxiv
| Presentation Name： | Rationality of the Brauer-Severi Varieties of Skylanin algebras |
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| Presenter👁🗨： | Colin Ingalls |
| Date🧥： | 2010-03-03 |
| Location： | 光华东主楼1801 |
| Abstract： | Iskovskih's conjecture states that a conic bundle over a surface is rational if and only if the surface has a pencil of rational curves which meet the discriminant in 3 or fewer points, (with one exceptional case). We generalize Iskovskih's proof that such conic bundles are rational, to the case of projective space bundles of higher dimension. The proof involves maximal orders and toric geometry. As a corollary we show that the Brauer-Severi variety of a Sklyanin algebra is rational. |
| Annual Speech Directory： | No.5 |
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