pith. sign in

arxiv: math/9907108 · v3 · submitted 1999-07-16 · 🧮 math.GT · math.AG

Knotting of Algebraic Curves in CP2

classification 🧮 math.GT math.AG
keywords algebraicconstructcurvecurvesabelianambientanswerclass
0
0 comments X
read the original abstract

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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.