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I construct “fake algebraic curves” in . More precisely, for any k>2, I construct infinitely many pairwise smoothly non-isotopic (and moreover not ambient diffeomorphic) smooth surfaces $F\subset Cp^2$ homeomorphic to a non-singular algebraic curve of degree 2k, realizing the same homology class as such a curve and having abelian fundamental group of the complement . This gives an answer to Problem 4.110 of Kirby’s list.

生成讲解博客的中文版本

生成AI智能校验的中文版本