ID | 116779 |
タイトル別表記 | SPLITTING NUMBERS FOR GALOIS COVERS
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著者 | |
キーワード | Zariski piar
π1-equivalent Zariski k-plet
Galois cover
splitting curve
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資料タイプ |
学術雑誌論文
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抄録 | In this paper, we introduce splitting numbers of subvarieties in a smooth complex variety for a Galois cover, and prove that the splitting numbers are invariant under certain homeomorphisms. In particular cases, we show that splitting numbers enable us to distinguish the topology of complex plane curves even if the fundamental groups of the complements of plane curves are isomorphic. Consequently, we prove that there are π1-equivalent Zariski k-plets for any integer k ≥ 2.
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掲載誌名 |
Proceedings of the American Mathematical Society
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ISSN | 00029939
10886826
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cat書誌ID | AA00781790
AA1245450X
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出版者 | American Mathematical Society
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巻 | 145
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号 | 3
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開始ページ | 1009
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終了ページ | 1017
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発行日 | 2016-09-15
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EDB ID | |
出版社版DOI | |
出版社版URL | |
フルテキストファイル | |
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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