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Transcendence and linear relations of 1-periods / Annette Huber, Gisbert Wüstholz.

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This work answers long-standing open questions in transcendence theory and finalises the theory of linear relations of 1-periods. It serves as a detailed and modern introduction for graduate students and young researchers to the beautiful world of transcendence. The authors include foundational mate...

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Bibliographic Details
Online Access: Full Text (via Cambridge)
Main Authors: Huber, Annette (Author), Wüstholz, Gisbert (Author)
Format: Electronic eBook
Language:English
Published: Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2022.
Series:Cambridge tracts in mathematics ; 227.
Subjects:
Transcendental numbers.
Motives (Mathematics)
Algebraic fields.
Table of Contents:
  • Basics on categories
  • Homology and cohomology
  • Commutative algebraic groups
  • Lie groups
  • The analytic subgroup theorem
  • The formalism of the period conjecture
  • Deligne's 1-motives
  • Periods of 1-motives
  • First examples
  • On non-closed elliptic periods
  • Periods of algebraic varieties
  • Relations between periods
  • Vanishing of periods of curves
  • Dimension computations : an estimate
  • Structure of the period space
  • Incomplete periods of the third kind
  • Elliptic curves
  • Values of hypergeometric functions.

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