Sagbi bases of Cox-Nagata rings
文献类型：期刊论文
| 作者 | Sturmfels, Bernd1; Xu, Zhiqiang2
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| 刊名 | JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY
 |
| 出版日期 | 2010 |
| 卷号 | 12期号:2页码:429-459 |
| ISSN号 | 1435-9855 |
| DOI | 10.4171/JEMS/204 |
| 英文摘要 | We degenerate Cox-Nagata rings to toric algebras by means of sagbi bases induced by configurations over the rational function field. For del Pezzo surfaces, this degeneration implies the Batyrev-Popov conjecture that these rings are presented by ideals of quadrics. For the blow-up of projective n-space at n + 3 points, sagbi bases of Cox-Nagata rings establish a link between the Verlinde formula and phylogenetic algebraic geometry, and we use this to answer questions due to D'Cruz-Iarrobino and Buczynska-Wisniewski. Inspired by the zonotopal algebras of Holtz and Ron, our study emphasizes explicit computations, and offers a new approach to Hilbert functions of fat points. |
| 资助项目 | Alexander von Humboldt ; U. S. National Science Foundation[DMS-0456960] ; Sofia Kovalevskaya prize awarded to Olga Holtz ; National Natural Science Foundation of China[10871196] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000275735300007 |
| 出版者 | EUROPEAN MATHEMATICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9793]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Sturmfels, Bernd |
| 作者单位 | 1.Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA 2.Chinese Acad Sci, Inst Comput Math Acad Math & Syst Sci, LSEC, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Sturmfels, Bernd,Xu, Zhiqiang. Sagbi bases of Cox-Nagata rings[J]. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY,2010,12(2):429-459. |
| APA | Sturmfels, Bernd,&Xu, Zhiqiang.(2010).Sagbi bases of Cox-Nagata rings.JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY,12(2),429-459. |
| MLA | Sturmfels, Bernd,et al."Sagbi bases of Cox-Nagata rings".JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY 12.2(2010):429-459. |
入库方式： OAI收割
来源：数学与系统科学研究院
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