Existence of a singular projective variety with an arbitrary set of characteristic numbers

摘要

It is known that Chern characteristic numbers of compact complex manifoldscannot have arbitrary values. They satisfy certain divisability conditions. W.Ebeling and S. M. Gusein-Zade gave a definition of Chern characteristic numbersof singular compact complex analytic varieties. We prove that there exists asingular projective variety with an arbitrary set of characteristic numbers.