Around the Zilber-Pink Conjecture
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Word Count
71,000 words, Guess
Page Count
284 pages
Identifiers
- Open LibraryOL36278004M
- ISBN-139782856298565
- OCLC Control Number1019933491
Classifications
- LCCQA9.7 .H33 2017
Description
"Following Faltings and Vojta's work proving the Mordell-Lang conjecture for abelian varieties and Raynaud's work proving the Manin-Mumford conjecture, many new diophantine questions appeared, often described as problems of unlikely intersections. The arithmetic of moduli spaces of abelian varieties and, more generally, Shimura varieties has been parallel-developed around the central André-Oort conjecture. These two themes can be placed in a common frame--the Zilber-Pink conjecture. This volume is an introduction to these problems and to the various techniques used: geometry, height theory, reductive groups and Hodge theory, Shimura varieties, and model theory via the notion of o-minimal structure."--Publisher.
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