 |
|
|
Item Details
| Title:
|
THE ARITHMETIC AND GEOMETRY OF ALGEBRAIC CYCLES
|
| By: |
B.Brent Gordon (Editor), James D. Lewis (Editor), Stefan Muller-Stach (Editor) |
| Format: |
Paperback |
| List price:
|
£125.00 |
|
We believe that this item is permanently unavailable, and so we cannot source
it.
|
|
|
|
|
|
| ISBN 10: |
0821819542 |
| ISBN 13: |
9780821819548 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
15 January, 2000 |
| Series: |
CRM Proceedings & Lecture Notes No. 24 |
| Pages: |
432 |
| Description: |
As a subfield of algebraic geometry, the theory of algebraic cycles has gone through various interactions with algebraic $K$-theory, Hodge theory, arithmetic algebraic geometry, number theory, and topology. This book covers cohomological methods, Chow groups and motives, and arithmetic methods. |
| Synopsis: |
The NATO ASI/CRM Summer School at Banff offered a unique, full, and in-depth account of the topic, ranging from introductory courses by leading experts to discussions of the latest developments by all participants. The papers have been organized into three categories: cohomological methods; Chow groups and motives; and arithmetic methods. As a subfield of algebraic geometry, the theory of algebraic cycles has gone through various interactions with algebraic $K$-theory, Hodge theory, arithmetic algebraic geometry, number theory, and topology.These interactions have led to developments such as a description of Chow groups in terms of algebraic $K$-theory; the application of the Merkurjev-Suslin theorem to the arithmetic Abel-Jacobi mapping; progress on the celebrated conjectures of Hodge, and of Tate, which compute cycles class groups respectively in terms of Hodge theory or as the invariants of a Galois group action on etale cohomology; and, the conjectures of Bloch and Beilinson, which explain the zero or pole of the $L$-function of a variety and interpret the leading non-zero coefficient of its Taylor expansion at a critical point, in terms of arithmetic and geometric invariant of the variety and its cycle class groups.The immense recent progress in the theory of algebraic cycles is based on its many interactions with several other areas of mathematics. This conference was the first to focus on both arithmetic and geometric aspects of algebraic cycles. It brought together leading experts to speak from their various points of view. A unique opportunity was created to explore and view the depth and the breadth of the subject. This volume presents the intriguing results. |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |
|
|
|
 |
|
|
|
|
|
No Cheese, Please!
A fun picture book for children with food allergies - full of friendship and super-cute characters!Little Mo the mouse is having a birthday party.
|
My Brother Is a Superhero
Luke is massively annoyed about this, but when Zack is kidnapped by his arch-nemesis, Luke and his friends have only five days to find him and save the world...
|
|
|
|
|