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On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. (AM-157)
Mark Green
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Description for On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. (AM-157)
Paperback. Mark Green and Phillip Griffiths set forth the initial stages of an infinitesimal theory for algebraic cycles. The book aims in part to understand the geometric basis and the limitations of Spencer Bloch's beautiful formula for the tangent space to Chow groups. Series: Annals of Mathematics Studies. Num Pages: 208 pages, 10 line illus. BIC Classification: PBMW. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152 x 14. Weight in Grams: 28.
In recent years, considerable progress has been made in studying algebraic cycles using infinitesimal methods. These methods have usually been applied to Hodge-theoretic constructions such as the cycle class and the Abel-Jacobi map. Substantial advances have also occurred in the infinitesimal theory for subvarieties of a given smooth variety, centered around the normal bundle and the obstructions coming from the normal bundle's first cohomology group. Here, Mark Green and Phillip Griffiths set forth the initial stages of an infinitesimal theory for algebraic cycles. The book aims in part to understand the geometric basis and the limitations of Spencer Bloch's beautiful ... Read more
In recent years, considerable progress has been made in studying algebraic cycles using infinitesimal methods. These methods have usually been applied to Hodge-theoretic constructions such as the cycle class and the Abel-Jacobi map. Substantial advances have also occurred in the infinitesimal theory for subvarieties of a given smooth variety, centered around the normal bundle and the obstructions coming from the normal bundle's first cohomology group. Here, Mark Green and Phillip Griffiths set forth the initial stages of an infinitesimal theory for algebraic cycles. The book aims in part to understand the geometric basis and the limitations of Spencer Bloch's beautiful ... Read more
Product Details
Format
Paperback
Publication date
2005
Publisher
Princeton University Press United States
Number of pages
208
Condition
New
Series
Annals of Mathematics Studies
Number of Pages
208
Place of Publication
New Jersey, United States
ISBN
9780691120447
SKU
V9780691120447
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Mark Green
Mark Green is Professor of Mathematics and Director of the Institute for Pure and Applied Mathematics at the University of California, Los Angeles. Phillip Griffiths is Professor in the School of Mathematics at the Institute of Advanced Study.
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