KMS Of Academy of mathematics and systems sciences, CAS
| QUATERNION RATIONAL SURFACES | |
| Hoffman, Jerome William1; Jia, Xiaohong2; Wang, Haohao3 | |
| 2020-06-01 | |
| 发表期刊 | JOURNAL OF COMMUTATIVE ALGEBRA
 |
| ISSN | 1939-0807 |
| 卷号 | 12期号:2页码:237-261 |
| 摘要 | A quaternion rational surface is a rational surface generated by two rational space curves via quaternion multiplication. In general, the structure of the graded minimal free resolution of a rational surface is unknown. The goal of this paper is to construct the graded minimal free resolution of a quaternion rational surface generated by two rational space curves. We will provide the explicit formulas for the maps of these graded minimal free resolutions. The approach we take is to utilize the information of the mu-bases of the generating rational curves, and create the generating sets for the first and second syzygy modules in the graded minimal free resolutions. In addition, we show that the ideal generated by the first syzygy module expressed in terms of moving planes is exactly the same as the ideal generated by the parametrization in the affine ring. |
| 关键词 | syzygy graded minimal free resolution implicit equations |
| DOI | 10.1216/jca.2020.12.237 |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics |
| WOS记录号 | WOS:000538166200006 |
| 出版者 | ROCKY MT MATH CONSORTIUM |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/51552 |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Hoffman, Jerome William |
| 作者单位 | 1.Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, Natl Ctr Math & Interdisciplinary Sci, Beijing, Peoples R China 3.Southeast Missouri State Univ, Dept Math, Cape Girardeau, MO 63701 USA |
| 推荐引用方式 GB/T 7714 | Hoffman, Jerome William,Jia, Xiaohong,Wang, Haohao. QUATERNION RATIONAL SURFACES[J]. JOURNAL OF COMMUTATIVE ALGEBRA,2020,12(2):237-261. |
| APA | Hoffman, Jerome William,Jia, Xiaohong,&Wang, Haohao.(2020).QUATERNION RATIONAL SURFACES.JOURNAL OF COMMUTATIVE ALGEBRA,12(2),237-261. |
| MLA | Hoffman, Jerome William,et al."QUATERNION RATIONAL SURFACES".JOURNAL OF COMMUTATIVE ALGEBRA 12.2(2020):237-261. |
| 条目包含的文件 | 条目无相关文件。 | |||||
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