Existence of a singular projective variety with an arbitrary set of characteristic numbers
It is known that Chern characteristic numbers of compact complex manifolds cannot have arbitrary values. They satisfy certain divisability conditions. W. Ebeling and S. M. Gusein-Zade gave a definition of Chern characteristic numbers of singular compact complex analytic varieties. We prove that there exists a singular projective variety with an arbitrary set of characteristic numbers.
math.AG↗