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Algebraic cycles and motives. Volume 1 /
Algebraic geometry is a central subfield of mathematics in which the study of cycles is an important theme. Alexander Grothendieck taught that algebraic cycles should be considered from a motivic point of view and in recent years this topic has spurred a lot of activity. This 2007 book is one of two...
| Clasificación: | Libro Electrónico |
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| Autor Corporativo: | |
| Otros Autores: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
2007.
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| Colección: | London Mathematical Society lecture note series ;
343. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | Algebraic geometry is a central subfield of mathematics in which the study of cycles is an important theme. Alexander Grothendieck taught that algebraic cycles should be considered from a motivic point of view and in recent years this topic has spurred a lot of activity. This 2007 book is one of two volumes that provide a self-contained account of the subject. Together, the two books contain twenty-two contributions from leading figures in the field which survey the key research strands and present interesting new results. Topics discussed include: the study of algebraic cycles using Abel-Jacobi/regulator maps and normal functions; motives (Voevodsky's triangulated category of mixed motives, finite-dimensional motives); the conjectures of Bloch-Beilinson and Murre on filtrations on Chow groups and Bloch's conjecture. Researchers and students in complex algebraic geometry and arithmetic geometry will find much of interest here. |
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| Descripción Física: | 1 online resource (xiv, 292 pages) : illustrations |
| Bibliografía: | Includes bibliographical references. |
| ISBN: | 9781107362987 1107362989 9780511893926 0511893922 9780511721496 0511721498 0521701740 9780521701747 1139882708 9781139882705 1107367891 9781107367890 1107372437 9781107372436 1107369924 9781107369924 1299405495 9781299405493 1107365430 9781107365438 |