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].
Keywords
- Line Bundle
- Irreducible Component
- Intersection Number
- Abelian Variety
- Intersection Theory
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© 1993 Springer-Verlag Berlin Heidelberg
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de Jong, J. (1993). Ample Line Bundles and Intersection Theory. In: Edixhoven, B., Evertse, JH. (eds) Diophantine Approximation and Abelian Varieties. Lecture Notes in Mathematics, vol 1566. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-48208-6_7
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DOI: https://doi.org/10.1007/978-3-540-48208-6_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-57528-3
Online ISBN: 978-3-540-48208-6
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