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菅原 健
スガワラ タケシ SUGAWARA Takeshi 所 属 札幌校 職 名 准教授 |
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| 言語種別 | 英語 |
| 発行・発表の年月 | 2006/11 |
| 形態種別 | その他 |
| 査読 | 査読あり |
| 標題 | The cohomology groups of stable quasi-abelian schemes and degenerations associated with the E8-lattice |
| 執筆形態 | 共著 |
| 掲載誌名 | Advanced studies in pure mathematics |
| 巻・号・頁 | 45,pp.223-281 |
| 著者・共著者 | Iku Nakamura |
| 概要 | We study certain degenerate abelian schemes that are GIT-stable in the sense that their SL-orbits are closed in the semistable locus. We prove the vanishing of the cohomology groups H^q(Q,L^n) for q,n >0 for a naturally defined ample invertible sheaf L on Q. When n=1, this implies that H^0(Q,L), the space of global sections, is an irreducible module of the noncommutative Heisenberg group of (Q,L). |
| ISBN | 978-4-931469-38-9 |