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Bücher Wissen & Bildung Englische Bücher Naturwissenschaft, Medizin, Informatik, Technik Mathematik Arithmetik & Algebra Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces
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Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces
(Gebundene Ausgabe, Englisch)
Optischer Zustand
Beschreibung
This textbook introduces exciting new developments and cutting-edge results on the theme of hyperbolicity. Written by leading experts in their respective fields, the chapters stem from mini-courses given alongside three workshops that took place in Montréal between 2018 and 2019. Each chapter is self-contained, including an overview of preliminaries for each respective topic. This approach… captures the spirit of the original lectures, which prepared graduate students and those new to the field for the technical talks in the program. The four chapters turn the spotlight on the following pivotal themes: The basic notions of o-minimal geometry, which build to the proof of the Ax–Schanuel conjecture for variations of Hodge structures; A broad introduction to the theory of orbifold pairs and Campana's conjectures, with a special emphasis on the arithmetic perspective; A systematic presentation and comparison between different notions of hyperbolicity,as an introduction to the Lang–Vojta conjectures in the projective case; An exploration of hyperbolicity and the Lang–Vojta conjectures in the general case of quasi-projective varieties. Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces is an ideal resource for graduate students and researchers in number theory, complex algebraic geometry, and arithmetic geometry. A basic course in algebraic geometry is assumed, along with some familiarity with the vocabulary of algebraic number theory. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
01.11.2020
Sprache
Englisch
EAN
9783030498634
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
CRM Short Courses
Sonderedition
Nein
Seitenanzahl
247
Auflage
1st edition 2021
Einbandart
Gebundene Ausgabe
Buch Untertitel
Hyperbolicity in Montréal
Schlagwörter
Hyperbolicity, Moduli spaces, Logarithmic pairs, Bombieri-Lang conjecture, Faltings theorem, o-minimal geometry, Ax-Schanuel theorem, Ax-Schanuel conjecture, Hodge theory, Orbifold pairs, Campana conjectures, Lang-Vojta conjectures, Log general type, Brody hyperbolicity, Algebraic hyperbolicity, Kodaira dimension
Thema-Inhalt
PBMW - Algebraische Geometrie
PBH - Zahlentheorie
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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