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Transcendence and Linear Relations of 1-Periods(Cambridge Tracts in Mathematics 227) hardcover 263 p. 22

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発行年月	2022年05月
出版社／提供元	Cambridge University Press
出版国	イギリス
言語	英語
媒体	冊子
装丁	hardcover
ページ数／巻数	263 p.
ジャンル	洋書
ISBN	9781316519936
商品コード	1034134598
本の性格	学術書/テキスト
新刊案内掲載月	2022年02月
商品URL	https://kw.maruzen.co.jp/ims/itemDetail.html?itmCd=1034134598

著者紹介

Huber, Annette（著者）：Albert-Ludwigs-Universität Freiburg, Germany
Wüstholz, Gisbert（著者）：Eidgenössische Technische Hochschule Zürich

内容

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 material and link examples back to classical results.

Prologue; Acknowledgments; 1. Introduction; Part I. Foundations: 2. Basics on categories; 3. Homology and cohomology; 4. Commutative algebraic groups; 5. Lie groups; 6. The analytic subgroup theorem; 7. The formalism of the period conjecture; Part II. 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 III. Periods of Algebraic Varieties: 12. Periods of algebraic varieties; 13. Relations between periods; 14. Vanishing of periods of curves; Part IV. 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; Part V. Appendices: A. Nori motives; B. Voevodsky motives; C. Comparison of realisations; List of Notations; References; Index.

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