Point-counting and the Zilber-Pink conjecture / Jonathan Pila.

Author/creator Pila, Jonathan, 1962-
Format Electronic
Publication InfoCambridge ; New York, NY : Cambridge University Press, 2022.
Description1 online resource
Supplemental ContentFull text available from Cambridge Core All Books
Subjects

SeriesCambridge tracts in mathematics ; 228
Contents Point-counting -- Multiplicative Manin-Mumford -- Powers of the modular curve as Shimura varieties -- Modular André-Oort -- Point-counting and the André-Oort conjecture -- Model theory and definable sets -- O-minimal structures -- Parameterization and point-counting -- Better bounds -- Point-counting and Galois orbit bounds -- Complex analysis in O-minimal structures -- Schanuel's conjecture and Ax-Schanuel -- A formal setting -- Modular Ax-Schanuel -- Ax-Schanuel for Shimura varieties -- Quasi-periods of elliptic curves -- Sources -- Formulations -- Some results -- Curves in a power of the modular curve -- Conditional modular Zilber-Pink -- O-minimal uniformity -- Uniform Zilber-Pink.
Bibliography noteIncludes bibliographical references and indexes.
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Technical detailsMode of access: World Wide Web
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Issued in other formPrint version: Pila, Jonathan, 1962- Point-counting and the Zilber-Pink conjecture Cambridge ; New York, NY : Cambridge University Press, 2022 9781009170321
Genre/formElectronic books.
LCCN 2021060969
ISBN(ebook)
ISBN(hardback)

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