|
齋藤 幸子
サイトウ サチコ SAITO Sachiko 所 属 旭川校 職 名 教授 |
|
| 言語種別 | 英語 |
| 発行・発表の年月 | 2021/10 |
| 形態種別 | 学術雑誌 |
| 査読 | 査読あり |
| 標題 | Resolutions of Newton non-degenerate mixed polynomials of strongly polar non-negative mixed weighted homogeneous face type |
| 執筆形態 | 共著第一著者 |
| 掲載誌名 | Kodai Mathematical Journal |
| 掲載区分 | 国外 |
| 出版社・発行元 | Tokyo Institute of Technology |
| 巻・号・頁 | 44(3),pp.457-491 |
| 総ページ数 | 35 |
| 担当区分 | 筆頭著者,責任著者 |
| 著者・共著者 | Sachiko Saito, Kosei Takashimizu |
| 原著者 | Sachiko Saito, Kosei Takashimizu |
| 概要 | Let f(z,\bar{z}) be a convenient Newton non-degenerate mixed polynomial with strongly polar non-negative mixed weighted homogeneous face functions. We consider a convenient regular simplicial cone subdivision Σ^∗ which is admissible for f and take the toric modification \hat{π} : X → C^n associated with Σ^∗. We show that the toric modification resolves topologically the singularity of the mixed hypersurface germ defined by f(z,\bar{z}) under the Assumption (*) (Theorem 32). This result is an extension of the first part of Theorem 11 ([4]) by Mutsuo Oka. We also consider some typical examples (§9).
arXiv:2101.09631 [math.AG] |
| DOI | 10.2996/kmj/kmj44304 |
| PermalinkURL | https://projecteuclid.org/journals/kodai-mathematical-journal/volume-44/issue-3/Resolutions-of-Newton-non-degenerate-mixed-polynomials-of-strongly-polar/10.2996/kmj/kmj44304.short |
| researchmap用URL | https://projecteuclid.org/journals/kodai-mathematical-journal/volume-44/issue-3/Resolutions-of-Newton-non-degenerate-mixed-polynomials-of-strongly-polar/10.2996/kmj/kmj44304.short |