Complex algebraic plane curves via Poincaré--Hopf formula. III. Codimension bounds

Abstract

This work is a continuation of the papers [BZ1] and [BZ2]. Here we prove some estimates for the sum of codimensions of singularities of affine planar rational curves. Acknowledgements. We want to thank Mariusz Koras, Zbigniew Je-lonek, Stepan Orevkov and Peter Russell for their interest in our work and interesting discussions.