On Chern characters of algebraic hypersurface with arbitrary singularities

In this paper, we discuss the Chern characters of hypersurfaces with arbitrary singularities. When the hypersurface is smooth, the Chern characters are just the usual Chern numbers. For any given dimension, we prove that the Chern characters satisfy a kind of inequalities. And we discover that the Chern characters satisfy some kind of equalities when the dimension is greater than 3. Therefore we obtain some more inequalities which are satisfied by the Chern characters of hypersurfaces with arbitrary singularities. The definition of Chern characters see 5]—From editor.