Algebraic Cycles and Motives Volume 2 / Edited by Jan Nagel, Chris Peters.

Contributor(s): Nagel, Jan [editor of compilation.] | Peters, Chris [editor of compilation.]Material type: TextTextSeries: London Mathematical Society Lecture Note Series ; no. 344Publisher: Cambridge : Cambridge University Press, 2007Description: 1 online resource (374 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9781107325968 (ebook)Other title: Algebraic Cycles & MotivesAdditional physical formats: Print version: : No titleDDC classification: 516.35 Online resources: Click here to access online Summary: 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.
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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.

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