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Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces: Hyperbolicity in Montréal (CRM Short Courses) - Tapa dura

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9783030498634: Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces: Hyperbolicity in Montréal (CRM Short Courses)
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ISBN 10: 3030498638 ISBN 13: 9783030498634
Editorial: Springer, 2020

Sinopsis


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Acerca del autor

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

De la contraportada

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.

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Editorial
Springer
Año de publicación
2020
Idioma
Inglés
ISBN 10 
3030498638
ISBN 13 
9783030498634
Encuadernación
Tapa dura
Número de edición
1
Número de páginas
260
Editor
Nicole Marc-Hubert
Contacto del fabricante
Springer Nature Customer Service Center GmbH
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Heidelberg
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Alemania

Otras ediciones populares con el mismo título

9783030498665: Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces: Hyperbolicity in Montréal (CRM Short Courses)

Edición Destacada

ISBN 10:  3030498662 ISBN 13:  9783030498665
Editorial: Springer, 2021
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