Turkish Journal of Mathematics
DOI
-
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 \pi_1(\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 A_0, with a unique singularity of the type X_9, and such that A\cite A>16.
First Page
147
Last Page
158
Recommended Citation
FINASHIN, SERGEY (2001) "Knotting of algebraic curves in complex surfaces," Turkish Journal of Mathematics: Vol. 25: No. 1, Article 9. Available at: https://journals.tubitak.gov.tr/math/vol25/iss1/9
