Understanding Schubert's Book (II)
文献类型：期刊论文
| 作者 | Li, Banghe |
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 2021-08-25 |
| 页码 | 48 |
| 关键词 | Hilbert Problem 15 enumeration geometry blow-up |
| ISSN号 | 0252-9602 |
| DOI | 10.1007/s10473-022-0101-4 |
| 英文摘要 | In this paper, we give rigorous justification of the ideas put forward in 20, Chapter 4 of Schubert's book; a section that deals with the enumeration of conics in space. In that section, Schubert introduced two degenerate conditions about conics, i.e., the double line and the two intersection lines. Using these two degenerate conditions, he obtained all relations regarding the following three conditions: conics whose planes pass through a given point, conics intersecting with a given line, and conics which are tangent to a given plane. We use the language of blow-ups to rigorously treat the two degenerate conditions and prove all formulas about degenerate conditions stemming from Schubert's idea. |
| 资助项目 | National Center for Mathematics and Interdisciplinary Sciences, CAS |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000688482900023 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59214]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li, Banghe |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Banghe. Understanding Schubert's Book (II)[J]. ACTA MATHEMATICA SCIENTIA,2021:48. |
| APA | Li, Banghe.(2021).Understanding Schubert's Book (II).ACTA MATHEMATICA SCIENTIA,48. |
| MLA | Li, Banghe."Understanding Schubert's Book (II)".ACTA MATHEMATICA SCIENTIA (2021):48. |
入库方式： OAI收割
来源：数学与系统科学研究院
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