A note on splitting numbers for Galois covers and π1-equivalent Zariski k-plets
Bibliographic Information
- Other Title
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- SPLITTING NUMBERS FOR GALOIS COVERS
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Abstract
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.
Journal
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- Proceedings of the American Mathematical Society
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Proceedings of the American Mathematical Society 145 (3), 1009-1017, 2016-09-15
American Mathematical Society
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Details 詳細情報について
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- CRID
- 1050291768277051520
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- NII Book ID
- AA00781790
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- ISSN
- 00029939
- 10886826
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- Text Lang
- en
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- Article Type
- journal article
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- Data Source
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- IRDB