Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces: Hyperbolicity in Montréal - Couverture souple

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9783030498665: Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces: Hyperbolicity in Montréal
Couverture souple
ISBN 10 : 3030498662 ISBN 13 : 9783030498665
Editeur : Springer, 2021

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Marc-Hubert Nicole is a professor of mathematics in the French university system.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2021
Langue
anglais
ISBN 10 
3030498662
ISBN 13 
9783030498665
Reliure
Broché
Nombre de pages
260
Éditeur
Nicole Marc-Hubert
Coordonnées du fabricant
non disponible
Personne responsable
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Autres éditions populaires du même titre

9783030498634: Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces: Hyperbolicity in Montréal

Edition présentée

ISBN 10 :  3030498638 ISBN 13 :  9783030498634
Editeur : Springer Nature Switzerland AG, 2020
Couverture rigide