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Algebraic cycles and motives. Vol. 2 /

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 book is one of two volu...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: London Mathematical Society
Otros Autores: Nagel, Jan, Peters, C. (Chris)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2007.
Colección:London Mathematical Society lecture note series ; 344.
Temas:
Acceso en línea:Texto completo
Descripción
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 book is one of two volumes that provide a self-contained account of the subject as it stands. 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.
Notas:"These proceedings contain a selection of papers from the EAGER conference 'Algebraic Cycles and Motives' that was held at the Lorentz Center in Leiden on the occasion of the 75th birthday of Professor J.P. Murre (Aug 30-Sept 3, 2004)"--Preface.
Descripción Física:1 online resource : illustrations
Bibliografía:Includes bibliographical references.
ISBN:9781107089327
1107089328
9781107325968
110732596X