Abstract

This chapter gives an overview of the results from intersection theory we need for the proof of Faltings’s theorem. Meanwhile we will try to give a coherent account of (this part of) intersection theory and we will try to show what a beautiful theory it is. We would like to stress here, that it should be possible for anyone with some basic knowledge of (algebraic) geometry to prove all the results mentioned in this chapter after reading the first 40 pages of Hartshorne’s Lecture Notes [28].

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