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by Jan Nagel,Chris Peters

Author: Jan Nagel,Chris Peters
Subcategory: Mathematics
Language: English
Publisher: Cambridge University Press; 1 edition (May 28, 2007)
Pages: 308 pages
Category: Math and Science
Rating: 4.6
Other formats: rtf lit lrf txt

Series: London Mathematical Society Lecture Note Series (Book 343). Paperback: 308 pages.

Series: London Mathematical Society Lecture Note Series (Book 343).

Alexander Grothendieck taught that algebraic cycles should be considered from a motivic point of view and in recent years this topic has spurred a. .Be the first to ask a question about Algebraic Cycles and Motives, Volume 1. Lists with This Book. This book is not yet featured on Listopia.

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. Together, th 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.

London Mathematical Society Lecture Notes Series 34.

London Mathematical Society Lecture Notes Series 343. Price: 8. 0. 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.

Nagel, Jan (ed) & Peters, Chris (ed). Algebraic cycles and motives. Volume 1. - Cambridge University Press, 1993. (London Mathematical Society Lecture Note series; 181). Vol. 1 : Proceedings of the EAGER conference held in Lorentz Center Leiden, on the occasion of the 75th birthday of Professor . P. Murre, August 30, septembre 4, 2004. Cambridge University Press, 2007. (London Mathematical Society Lecture Note series; 343). ed) & Farmer, . ed) & Mezzadri, F. (ed) & al. Ranks of elliptic curves and random matrix theory. (London Mathematical Society Lecture Note series; 341).

Series: London Mathematical Society Lecture Note Series (344). Algebraic geometry is a central subfield of mathematics in which the study of cycles is an important theme. Recommend to librarian. Online ISBN: 9781107325968.

Описание: Algebraic geometry is a central subfield of mathematics in which the study of cycles is an important theme.

Topics discussed include: the study of algebraic cycles using r maps and normal functions; motives (Voevodskys triangulated category of mixed motives, finite-dimensional motives); the conjectures of Bloch-Beilinson and Murre on filtrations on Chow groups and Blochs conjecture. Описание: Algebraic geometry is a central subfield of mathematics in which the study of cycles is an important theme.

This note contains some examples of hyperkähler varieties X having a group G of non{symplectic automorphisms, and such . If X has a non-symplectic group acting trivially on algebraic cycles then the motive of X is finite dimensional. If X has a symplectic involution i, .

This note contains some examples of hyperkähler varieties X having a group G of non{symplectic automorphisms, and such that the action of G on certain Chow groups of X is as predicted by Bloch's conjecture. a Nikulin involution, then the finite dimensionality of h(X) implies ({h(X) simeq h(Y)}), where Y is a desingularization of the quotient surface ({X/langle i rangle }).

1 Peter Topping March 9, 2006 1 c Peter Topping 2004, 2005, 2006 91 . No local volume collapse where curvature is controlled. 94 . Volume ratio bounds imply injectivity radius bounds. 100 . Blowing up at singularities II.

1 Peter Topping March 9, 2006 1 c Peter Topping 2004, 2005, 2006. Contents 1 Introduction 6 . Ricci ow: what is it, and from where did it come? . 91 . 102 9 Curvature pinching and preserved curvature properties un- der Ricci ow 104 . Overview .

University Lecture Series Volume: 61; 2013; 149 pp; Softcover MSC: Primary 14; 19.This book deals primarily with the theory of pure motives. We finish with a chapter on relative motives and a chapter giving a short introduction to Voevodsky's theory of mixed motives.

This book deals primarily with the theory of pure motives. The exposition begins with the fundamentals: Grothendieck's construction of the category of pure motives and examples. Next, the standard conjectures and the famous theorem of Jannsen on the category of the numerical motives are discussed.

Group Cohomology and Algebraic Cycles. Towards the Mathematics of Quantum Field Theory (Ergebnisse der Mathematik und ihrer Grenzgebiete. Moduli Spaces (London Mathematical Society Lecture Note Series) Paperback. Complex Multiplication and Lifting Problems (Mathematical Surveys and Monographs). Positive Polynomials: From Hilbert's 17th Problem to Real Algebra (Springer Monographs in Mathematics) Towards the Mathematics of Quantum Field Theory (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge, A Series of Modern Surveys in Mathematics).

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.