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

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

2009-06-12

arxiv.org/abs/0906.2287v2

Mathematics

Algebraic Geometry

Scientific paper

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.

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