Characteristic Classes in Algebraic Geometry

Audun Holme ()
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Audun Holme: University of Bergen, Department of Mathematics

Chapter Chapter 19 in A Royal Road to Algebraic Geometry, 2012, pp 321-328 from Springer

Abstract: Abstract This chapter is on characteristic classes. We first explain some basic facts on and then proceed to Chern classes, Chern characters and Todd classes. After comments on the singular case we define homological Segre classes and proceed to a study of the Grothendieck Group K(X). Apart from these comments on the singular case, we assume that all schemes are non singular for the remainder of this book. But using our references, the task of extending the treatment which follows to cover the singular case should be straightforward.

Keywords: Todd Class; Chern Character; Grothendieck Group; Singular Case; Smooth Morphism (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-3-642-19225-8_19

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