| 书目名称 | Periods and Nori Motives |
| 编辑 | Annette Huber,Stefan Müller-Stach |
| 视频video | |
| 概述 | First book presenting the theory of Nori motives in detail.Studies the Kontsevich–Zagier theory of periods and its relation to mixed motives.Includes full background as well as many examples.Includes |
| 丛书名称 | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics |
| 图书封面 |  |
| 描述 | This book casts the theory of periods of algebraic varieties in the natural setting of Madhav Nori’s abelian category of mixed motives. It develops Nori’s approach to mixed motives from scratch, thereby filling an important gap in the literature, and then explains the connection of mixed motives to periods, including a detailed account of the theory of period numbers in the sense of Kontsevich-Zagier and their structural properties..Period numbers are central to number theory and algebraic geometry, and also play an important role in other fields such as mathematical physics. There are long-standing conjectures about their transcendence properties, best understood in the language of cohomology of algebraic varieties or, more generally, motives. Readers of this book will discover that Nori’s unconditional construction of an abelian category of motives (over fields embeddable into the complex numbers) is particularly well suited for this purpose. Notably, Kontsevich‘s formal period algebra represents a torsor under the motivic Galois group in Nori‘s sense, and the period conjecture of Kontsevich and Zagier can be recast in this setting..Periods and Nori Motives. is highly informative |
| 出版日期 | Book 2017 |
| 关键词 | Periods; Period Isomorphism; Motives; de Rham Cohomology; Singular Cohomology; Tannaka Categories; Torsors |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-50926-6 |
| isbn_softcover | 978-3-319-84524-1 |
| isbn_ebook | 978-3-319-50926-6Series ISSN 0071-1136 Series E-ISSN 2197-5655 |
| issn_series | 0071-1136 |
| copyright | Springer International Publishing AG 2017 |
发表于 2025-3-21 17:00:34
