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QUATERNION RATIONAL SURFACES

文献类型：期刊论文

作者Hoffman, Jerome William1; Jia, Xiaohong2; Wang, Haohao3
刊名JOURNAL OF COMMUTATIVE ALGEBRA
出版日期2020-06-01
卷号12期号:2页码:237-261
关键词syzygy graded minimal free resolution implicit equations
ISSN号1939-0807
DOI10.1216/jca.2020.12.237
英文摘要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.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000538166200006
出版者ROCKY MT MATH CONSORTIUM
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/51551]  
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.

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来源：数学与系统科学研究院

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