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Arithmetic geometry of logarithmic p...

Nicole, Marc-Hubert.

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Arithmetic geometry of logarithmic pairs and hyperbolicity of moduli spaces = hyperbolicity in Montreal /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Arithmetic geometry of logarithmic pairs and hyperbolicity of moduli spaces/ edited by Marc-Hubert Nicole.
Reminder of title:	hyperbolicity in Montreal /
other author:	Nicole, Marc-Hubert.
Published:	Cham :Springer International Publishing : : 2020.,
Description:	ix, 247 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Geometry, Algebraic. -
Online resource:	https://doi.org/10.1007/978-3-030-49864-1
ISBN:	9783030498641

Arithmetic geometry of logarithmic pairs and hyperbolicity of moduli spaces = hyperbolicity in Montreal /
Arithmetic geometry of logarithmic pairs and hyperbolicity of moduli spaceshyperbolicity in Montreal /[electronic resource] :edited by Marc-Hubert Nicole. - Cham :Springer International Publishing :2020. - ix, 247 p. :ill., digital ;24 cm. - CRM short courses,2522-5200. - CRM short courses,.

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.

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 Montreal 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.

ISBN: 9783030498641

Standard No.: 10.1007/978-3-030-49864-1doiSubjects--Topical Terms:

532048
Geometry, Algebraic.

LC Class. No.: QA564 / .A75 2020

Dewey Class. No.: 516.35

Arithmetic geometry of logarithmic pairs and hyperbolicity of moduli spaces = hyperbolicity in Montreal /
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300 $a ix, 247 p. : $b ill., digital ; $c 24 cm.
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505 0 $a 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.
520 $a 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 Montreal 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.
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