| ID | 114265 |
| 著者 |
米田, 二良
Kanagawa Institute of Technology
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| キーワード | Weierstrass semigroup
Double cover of a curve
Rational ruled surface
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| 資料タイプ |
学術雑誌論文
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| 抄録 | Let (C, P) be a pointed non-singular curve such that the Weierstrass semigroup H(P) of P is a γ-hyperelliptic numerical semigroup. Torres showed that there exists a double covering π : C → C‘ such that the point P is a ramification point of π if the genus g of C is larger than or equal to 6γ + 4. Kato and the authors also showed that the same result holds in the case g = 6γ + 3 or 6γ + 2. In this paper we prove that there exists a double covering π : C → C’ satisfying the above condition even if g = 6γ + 1, 6γ and H(P) does not contain 4.
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| 掲載誌名 |
Bulletin of the Brazilian Mathematical Society, New Series
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| ISSN | 16787544
16787714
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| cat書誌ID | AA10918723
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| 出版者 | Springer Nature|Sociedade Brasileira de Matemática
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| 巻 | 48
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| 号 | 2
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| 開始ページ | 209
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| 終了ページ | 218
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| 発行日 | 2016-08-10
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| 備考 | This is a post-peer-review, pre-copyedit version of an article published in Bulletin of the Brazilian Mathematical Society, New Series. The final authenticated version is available online at: https://doi.org/10.1007/s00574-016-0002-z.
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| 言語 |
eng
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| 著者版フラグ |
著者版
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| 部局 |
理工学系
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