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.
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Notes
- 1.
See e.g. [15] IV (21.2.7.1).
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Holme, A. (2012). Intersection Theory. In: A Royal Road to Algebraic Geometry. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19225-8_18
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DOI: https://doi.org/10.1007/978-3-642-19225-8_18
Publisher Name: Springer, Berlin, Heidelberg
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