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