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Characteristic Classes in Algebraic Geometry

In: A Royal Road to Algebraic Geometry

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  • Audun Holme

    (University of Bergen, Department of Mathematics)

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.

Suggested Citation

  • Audun Holme, 2012. "Characteristic Classes in Algebraic Geometry," Springer Books, in: A Royal Road to Algebraic Geometry, chapter 0, pages 321-328, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-19225-8_19
    DOI: 10.1007/978-3-642-19225-8_19
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