Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces
Hyperbolicity in Montréal
(Sprache: Englisch)
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...
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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.
Inhaltsverzeichnis zu „Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces “
Lectures on the Ax-Schanuel Conjecture.- Arithmetic Aspects of Orbifold Pairs.- The Lang-Vojta Conjectures on Projective Pseudo-Hyperbolic Varieties.- Hyperbolicity of Varieties of Log General Type.
Autoren-Porträt
Marc-Hubert Nicole is a professor of mathematics in the French university system.
Bibliographische Angaben
- 2020, 1st ed. 2020, IX, 247 Seiten, 7 farbige Abbildungen, Maße: 16,2 x 24,5 cm, Gebunden, Englisch
- Herausgegeben: Marc-Hubert Nicole
- Verlag: Springer, Berlin
- ISBN-10: 3030498638
- ISBN-13: 9783030498634
Sprache:
Englisch
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