Jan Nagel / Chris Peters (eds.)

Algebraic Cycles and Motives, Volume 1

Herausgeber: Nagel, Jan; Peters, Chris

• Broschiertes Buch

Produktbeschreibung

These two volumes provide a self-contained account of research on algebraic cycles and motives. Twenty-two contributions from leading figures survey the key research strands, including: Abel-Jacobi/regulator maps and normal functions; Voevodsky's triangulated category of mixed motives; conjectures of Bloch-Beilinson and Murre on filtrations on Chow groups.

Produktdetails

• London Mathematical Society Lecture Note Series
• Verlag: Cambridge University Press
• Seitenzahl: 308
• Erscheinungstermin: 9. Oktober 2012
• Englisch
• Abmessung: 229mm x 152mm x 18mm
• Gewicht: 518g
• ISBN-13: 9780521701747
• ISBN-10: 0521701740
• Artikelnr.: 22532572

Autorenporträt

Jan Nagel is a Lecturer at UFR de Mathématiques Pures et Appliquées, Université Lille 1.
Chris Peters is a Professor at Institut Fourier, Université Grenoble 1.

Inhaltsangabe

Foreword
Part I. Survey Articles: 1. The motivic vanishing cycles and the conservation conjecture J. Ayoub
2. On the theory of 1-motives L. Barbieri-Viale
3. Motivic decomposition for resolutions of threefolds M. de Cataldo and L. Migliorini
4. Correspondences and transfers F. D¿eglise
5. Algebraic cycles and singularities of normal functions M. Green and Ph. Griffiths
6. Zero cycles on singular varieties A. Krishna and V. Srinivas
7. Modular curves, modular surfaces and modular fourfolds D. Ramakrishnan.