Number of singular points of an annulus in ℂ²

2010/05/06 by Maciej Borodzik, Borodzik, Maciej, Henryk Zoladek +1
Mathematics · #14B05 #14H50 #14R10 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14B05 #msc:14H50 #msc:14R10

paper · pdf · doi:10.48550/arxiv.1005.0980

15 pages, to appear in Ann. Inst. Fourier

arxiv created 2010/05/06 · arxiv updated 2010/05/07

Abstract

Using Bogomolov-Miyaoka-Yau inequality and a Milnor number bound we prove that any algebraic annulus ℂ^* in ℂ² with no self-intersections can have at most three cuspidal singularities.

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