Intersection theory | Characteristic classes

Segre class

In mathematics, the Segre class is a characteristic class used in the study of cones, a generalization of vector bundles. For 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 more general cones, while the Chern class does not.The Segre class was introduced in the non-singular case by Segre (1953)..In the modern treatment of intersection theory in algebraic geometry, as developed e.g. in the definitive book of Fulton (1998), Segre classes play a fundamental role. (Wikipedia).

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Related pages

Grassmann bundle | Complex manifold | Residual intersection | Scheme-theoretic intersection | Cone (algebraic geometry) | Connection (mathematics) | Chow group | Exceptional divisor | Complete homogeneous symmetric polynomial | Elementary symmetric polynomial | Normal cone | Characteristic class | Intersection theory | Mathematics | Proper morphism | Enumerative geometry | Vector bundle | Projective bundle | Holomorphic vector bundle | Flat morphism | Chern class | Dual bundle