3 papers
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 ( and ) of plane cuspidal curves such that (i) 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 a generic morphism of a smooth projective surface onto of degree , 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…