Intersection Theory

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

Chapter Chapter 18 in A Royal Road to Algebraic Geometry, 2012, pp 307-319 from Springer

Abstract: Abstract In this chapter we first list some basic facts on divisors, restricting the attention to quasi projective schemes over a field for simplicity. The sheaf of quotients which plays the role of the function field for varieties is introduced, as well as the group of Cartier divisors . The basic concepts related to them are given, as is relation to the group of Weil divisors. Then follows a section on Chow homology and Chow cohomology, leading up to bivariant theories.

Keywords: Chow Homology; Cartier Divisor; Chow Cohomology; Bivariant Theories; Quasi-projective Variety (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-19225-8_18

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DOI: 10.1007/978-3-642-19225-8_18

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