Number of singular points of a genus $g$ curve with one point at infinity - Mathematics > Algebraic GeometryReportar como inadecuado




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Abstract: We bound the maximal number N of singular points of a plane algebraic curve Cthat has precisely one place at infinity with one branch in terms of its firstBetti number $b 1C$. Asymptotically we prove that $N<\sim{17-11}b 1C$ forlarge $b 1$. In particular, in the case of curves with one place at infinity,we confirm the Zaidenberg and Lin conjecture stating that $N\le 2b 1+1$.



Autor: Maciej Borodzik

Fuente: https://arxiv.org/







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