Segre Class

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the Segre class is a characteristic class used in the study of singular vector bundles. The total Segre class is inverse to the total Chern class, and thus provides equivalent information; the advantage of the Segre class is that it generalizes to singular vector bundles, while the Chern class does not.For a holomorphic vector bundle E over a complex manifold M a total Segre class s(E) is the inverse to the total Chern class c(E), see e.g. Explicitly, for a total Chern classwhere ci is an elementary symmetric polynomial of degree i in variables x_1, dots, x_k