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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Citation Formats

S. Finashin, “Knotting of algebraic curves in CP2,” TOPOLOGY, pp. 47–55, 2002, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/37982.