Transcendence and Linear Relations of 1-Periods
Annette Huber and Gisbert Wüstholz
Transcendence and Linear Relations of 1-Periods, Cambridge Tracts in Mathematics 227, Cambridge University Press 2022.
List of Errata
- (communicated by M. Kalck) The formula before Example 3.7. should read
2g-|S|-1
- (communicated by M. Kalck) The formula in Example 3.10 should read
Q^{|A|-1}
Table of Contents
1 Introduction
Part One Foundations
2 Basics on Categories
3 Dimensions of Period Spaces
4 Homology and Cohomology
5 Commutative Algebraic Groups
6 Lie Groups
7 The formalism of the Period Conjecture
Part Two Periods of Deligne 1-Motives
8 Deligne's 1-Motives
9 Periods of 1-Motives
10 First Examples
11 On Non-closed Elliptic Periods
Part Three Periods of Algebraic Varieties
12 Periods of Algebraic Varieties
13 Relations Between Periods
14 Vanishing of Periods of Curves
Part Four Dimensions of Period Spaces
15 Dimension Computations: An Estimate
16 Structure of the Period Space
17 Incomplete Periods of the Third Kind
18 Elliptic Curves
19 Values of Hypergeometric Functions
Appendices
A Nori Motives
B Voevodsky Motives
C Comparison of Realisations
