ID | 116779 |
Title Alternative | SPLITTING NUMBERS FOR GALOIS COVERS
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Author |
Shirane, Taketo
National Institute of Technology, Ube College
Tokushima University Educator and Researcher Directory
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Keywords | Zariski piar
π1-equivalent Zariski k-plet
Galois cover
splitting curve
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Content Type |
Journal Article
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Description | 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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Journal Title |
Proceedings of the American Mathematical Society
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ISSN | 00029939
10886826
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NCID | AA00781790
AA1245450X
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Publisher | American Mathematical Society
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Volume | 145
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Issue | 3
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Start Page | 1009
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End Page | 1017
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Published Date | 2016-09-15
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EDB ID | |
DOI (Published Version) | |
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language |
eng
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TextVersion |
Author
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departments |
Science and Technology
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