CRM Short Courses

Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces

Hyperbolicity in Montréal

Editors: Nicole, Marc-Hubert (Ed.)

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  • Introduces a number of exciting developments and cutting-edge results related to hyperbolicity, and the fundamental conjectures of Ax–Schanuel, Bombieri, Campana, Lang, Vojta, and others
  • Features chapters written by leading experts in their areas, collecting many of their own recent advances
  • Motivates a range of readers by presenting each chapter’s respective material in a self-contained and accessible manner
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eBook 53,49 €
price for Spain (gross)
  • ISBN 978-3-030-49864-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 67,59 €
price for Spain (gross)
  • ISBN 978-3-030-49863-4
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

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.

About the authors

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

Table of contents (4 chapters)

Table of contents (4 chapters)

Buy this book

eBook 53,49 €
price for Spain (gross)
  • ISBN 978-3-030-49864-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 67,59 €
price for Spain (gross)
  • ISBN 978-3-030-49863-4
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces
Book Subtitle
Hyperbolicity in Montréal
Editors
  • Marc-Hubert Nicole
Series Title
CRM Short Courses
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-49864-1
DOI
10.1007/978-3-030-49864-1
Hardcover ISBN
978-3-030-49863-4
Series ISSN
2522-5200
Edition Number
1
Number of Pages
IX, 247
Number of Illustrations
19 b/w illustrations, 7 illustrations in colour
Topics