Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces

Descripción

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.

N° de ref. del artículo LU-9783030498665

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Detalles bibliográficos

Título

Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces

Editor

Springer Nature Switzerland AG, CH

Fecha de publicación

2021

Idioma

Inglés

ISBN 10

3030498662

ISBN 13

9783030498665

Encuadernación

Paperback

Edición

2020 ed.

Estado

New

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