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Knotting of algebraic curves in CP2
Date
2002-01-01
Author
Finashin, Sergey
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For any k⩾3, I construct infinitely many pairwise smoothly non-isotopic smooth surfaces homeomorphic to a non-singular algebraic curve of degree 2k, realizing the same homology class as such a curve and having abelian fundamental group ⧹ . This gives an answer to Problem 4.110 in the Kirby list (Kirby, Problems in low-dimensional topology, in: W. Kazez (Ed.), Geometric Topology, AMS/IP Stud. Adv. Math. vol 2.2, Amer. Math. Soc., Providence, 1997).
Subject Keywords
Plane algebraic curves
,
Fundamental group
,
Knotted surfaces
URI
https://hdl.handle.net/11511/37982
Journal
TOPOLOGY
DOI
https://doi.org/10.1016/s0040-9383(00)00023-9
Collections
Department of Mathematics, Article
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S. Finashin, “Knotting of algebraic curves in CP2,”
TOPOLOGY
, pp. 47–55, 2002, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/37982.