All links are semiholomorphic

Semiholomorphic polynomials are functions f : C-2 -> C that can be written as polynomials in complex variables u, v and the complex conjugate v. The origin is a weakly isolated singularity of a polynomial map if it is locally the only critical point on the variety. In this case the intersection of the variety and a sufficiently small 3 -sphere produces a link whose link type is a topological invariant of the singularity. We prove the semiholomorphic analogue of Akbulut's and King's All knots are algebraic, that is, every link type in the 3 -sphere arises as the link of a weakly isolated singularity of a semiholomorphic polynomial. Our proof is constructive, which allows us to obtain an upper bound on the polynomial degree of the constructed functions.