Knotting of algebraic curves in complex surfaces

Authors : Sergey Finashin

Pages : 147-158

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :For any d\ge 5, I constructed infinitely many pairwise smoothly non-equivalent surfaces F\subset\Cp{2} homeomorphic to a non-singular algebraic curve of degree d, realizing the same homology class as such a curve and having abelian fundamental group p1insert ignore into journalissuearticles values(\Cp2\stmin F);. It is a special case of a more general theorem, which concerns for instance those algebraic curves, A, in a simply connected algebraic surface, X, which admit irreducible degenerations to a curve A0, with a unique singularity of the type X9, and such that A\cite A>16.
Keywords : Turk J Math, 25, 2001, , 147 158 Turk J Math, vol 25, iss 1