Number of singular points of an annulus in $\mathbb{C}^2$

Details Number of singular points of an annulus in $\mathbb{C}^2$ Number of singular points of an annulus in $\mathbb{C}^2$

2010-05-06

arxiv.org/abs/1005.0980v1

Mathematics

Algebraic Geometry

15 pages, to appear in Ann. Inst. Fourier

Scientific paper

Using Bogomolov-Miyaoka-Yau inequality and a Milnor number bound we prove
that any algebraic annulus $\mathbb{C}^*$ in $\mathbb{C}^2$ with no
self-intersections can have at most three cuspidal singularities.

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