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  1. Bog
  2. Geometri
  3. Algebraisk geometri

Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces

- Hyperbolicity in Montreal
Engelsk Hardback

Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces

- Hyperbolicity in Montreal
Engelsk Hardback
Tjek vores konkurrenters priser
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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Tjek vores konkurrenters priser
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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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 247
ISBN-13: 9783030498634
Indbinding: Hardback
Udgave:
ISBN-10: 3030498638
Kategori: Algebraisk geometri
Udg. Dato: 1 nov 2020
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer Nature Switzerland AG
Oplagsdato: 1 nov 2020
Forfatter(e):
Forfatter(e)

Kategori Algebraisk geometri

ISBN-13 9783030498634

Sprog Engelsk

Indbinding Hardback

Sider 247

Udgave

Længde 0mm

Bredde 155mm

Højde 235mm

Udg. Dato 1 nov 2020

Oplagsdato 1 nov 2020

Forlag Springer Nature Switzerland AG

Kategori sammenhænge