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math.AG2009★ 2 cited
Number of singular points of a genus curve with one point at infinity
Maciej Borodzik
We bound the maximal number N of singular points of a plane algebraic curve C that has precisely one place at infinity with one branch in terms of its first Betti number .…
math.AG2009★ 3 cited
Deformations of singularities of plane curves. Topological approach
Maciej Borodzik
We use a knot invariant, namely the Tristram--Levine signature to study deformations of singular points of plane curves. We find a bound on the sum of M numbers over all singularit…