V. Kulikov

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math.AG1998

On Zariski's pairs of m-th canonical discriminant curves

Vik. S. Kulikov

In this note we give examples of Zariski's pairs $B_{1, m}, B_{2, m}$ ( $m \in N$ and $m \geq 5$ ) of plane cuspidal curves such that (i) $B_{i, m}$ is the discriminant curve of a gener…

math.AG1998

On a Chisini Conjecture

Vik. S. Kulikov

Chisini's conjecture asserts that for a cuspidal curve $B \subset P^{2}$ a generic morphism $f$ of a smooth projective surface onto $P^{2}$ of degree $\geq 5$ , branched…

math.AG1998

Jacobian Conjecture and Nilpotent Mappings

Vik. S. Kulikov

We prove the equivalence of the Jacobian Conjecture (JC(n)) and the Conjecture on the cardinality of the set of fixed points of a polynomial nilpotent mapping (JN(n)) and prove a s…