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Periods and Nori Motives (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics)
Huber, Annette, Müller-Stach, Stefan
€ 176.96
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Description for Periods and Nori Motives (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics)
Hardcover. Series: Ergebnisse der Mathematik und Ihrer Grenzgebiete. 3 Folge /A Series of Modern Surveys in Mathematics. Num Pages: 374 pages, 7 black & white illustrations, 5 colour tables, biography. BIC Classification: PBC; PBF; PBMW; PBPD. Category: (P) Professional & Vocational. Dimension: 235 x 155. .
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2017
Publisher
Springer
Condition
New
Series
Ergebnisse der Mathematik und Ihrer Grenzgebiete. 3 Folge /A Series of Modern Surveys in Mathematic
Number of Pages
372
Place of Publication
Cham, Switzerland
ISBN
9783319509259
SKU
V9783319509259
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Huber, Annette, Müller-Stach, Stefan
Annette Huber works in arithmetic geometry, in particular on motives and special values of L-functions. She has contributed to all aspects of the Bloch-Kato conjecture, a vast generalization of the class number formula and the conjecture of Birch and Swinnerton-Dyer. More recent research interests include period numbers in general and differential forms on singular varieties. Stefan Müller-Stach works in ... Read more
Reviews for Periods and Nori Motives (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics)
“This book is admirably suited for guiding a course or seminar program on this topic. The authors are to be congratulated on producing an important contribution to the mathematical literature on motives and their application to central problems in algebraic geometry and arithmetic.” (Marc Levine, Jahresbericht der Deutschen Mathematiker-Vereinigung, August 13, 2019) “The book under review provides a detailed account ... Read more