CP2中代数曲线的纽结
Knotting of Algebraic Curves in CP2
摘要：
我在$Cp^2$中构造“假代数曲线“。更准确地说，对于任何k>2，我构建无穷多个成对光滑非同位素（而且不是环境同构）光滑曲面$F\subset Cp^2$同胚的非奇异代数曲线的程度为2k，实现相同的同调类这样的曲线和有阿贝尔基本群的补充$Cp^2-F$。这给出了Kirby列表中问题4.110的答案。
英文摘要：
I construct "fake algebraic curves" in $Cp^2$. 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 $Cp^2-F$. This gives an answer to Problem 4.110 of Kirby's list.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
