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Jacob P. Murre Jan Nagel Chris A. M. Lectures on the Theory of Pure (Paperback)
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Item specifics
- Condition
- Book Title
- Lectures on the Theory of Pure Motives
- Title
- Lectures on the Theory of Pure Motives
- EAN
- 9780821894347
- ISBN
- 9780821894347
- Genre
- Science Nature & Math
- Release Date
- 30/05/2013
- Release Year
- 2013
- Country/Region of Manufacture
- US
- Item Weight
- 293g
- Series
- University Lecture Series
- Publication Year
- 2013
- Type
- Textbook
- Format
- Paperback
- Language
- English
- Publication Name
- Lectures on the Theory of Pure Motives
- Publisher
- American Mathematical Society
- Subject
- Mathematics
- Number of Pages
- 149 Pages
About this product
Product Information
The theory of motives was created by Grothendieck in the 1960s as he searched for a universal cohomology theory for algebraic varieties. The theory of pure motives is well established as far as the construction is concerned. Pure motives are expected to have a number of additional properties predicted by Grothendieck's standard conjectures, but these conjectures remain wide open. The theory for mixed motives is still incomplete. This book deals primarily with the theory of pure motives. The exposition begins with the fundamentals: Grothendieck's construction of the category of pure motives and examples. Next, the standard conjectures and the famous theorem of Jannsen on the category of the numerical motives are discussed. Following this, the important theory of finite dimensionality is covered. The concept of Chow-Kunneth decomposition is introduced, with discussion of the known results and the related conjectures, in particular the conjectures of Bloch-Beilinson type. We finish with a chapter on relative motives and a chapter giving a short introduction to Voevodsky's theory of mixed motives.
Product Identifiers
Publisher
American Mathematical Society
ISBN-13
9780821894347
eBay Product ID (ePID)
178005946
Product Key Features
Publication Name
Lectures on the Theory of Pure Motives
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2013
Type
Textbook
Number of Pages
149 Pages
Additional Product Features
Series Title
University Lecture Series
Country/Region of Manufacture
United States
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