Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces
Hyperbolicity in Montréal
Published on 31. October 2020
IX, 247 pages
978-3-030-49864-1 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Primary & secondary/elementary & high school
Product notice
Reflowable
Illustrations
IX, 247 p. 26 illus., 7 illus. in color.
File size
3,74 MB
ISBN-13
978-3-030-49864-1 (9783030498641)
DOI
10.1007/978-3-030-49864-1
Schweitzer Classification
Other editions
Additional editions
Marc-Hubert Nicole
Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces
Hyperbolicity in Montréal
Book
11/2020
Springer
€74.89
Shipment within 7-9 days
Person
Marc-Hubert Nicole
is a professor of mathematics in the French university system.
Content
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.
