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.
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References
Hartshorne, R.: Algebraic Geometry. Graduate Texts in Mathematics. Springer, Berlin (1977)
Serre, J.-P.: Cohomologie et géometrie algébrique. In: Proc. of the International Congress of Mathematicians 1954, vol. III, pp. 515–520. Noordhoff, Groningen (1956). North Holland, Amsterdam
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Holme, A. (2012). Characteristic Classes in Algebraic Geometry. In: A Royal Road to Algebraic Geometry. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19225-8_19
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DOI: https://doi.org/10.1007/978-3-642-19225-8_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-19224-1
Online ISBN: 978-3-642-19225-8
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