Albert-Ludwigs-Universität Freiburg

Mathematisches Institut

Abteilung für Reine Mathematik

Arbeitsgruppe Zahlentheorie/
Arithmetische Geometrie

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

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