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Complex planar curves homeomorphic to a line have at most four singular points

Published 27 May 2019 in math.AG, math.AT, and math.CV | (1905.11376v2)

Abstract: We show that a complex planar curve homeomorphic to the projective line has at most four singular points. If it has exactly four then it has degree five and is unique up to a projective equivalence.

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