Transcendental aspects of algebraic cycles

S. Müller-stach, C. Peters - Collection London Mathematical Society Student Texts

290 pages, parution le 14/04/2004

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Résumé

This is a collection of lecture notes from the Summer School 'Cycles Algébriques; Aspects Transcendents, Grenoble 2001'. The topics range from introductory lectures on algebraic cycles to more advanced material. The advanced lectures are grouped under three headings: Lawson (co)homology, motives and motivic cohomology and Hodge theoretic invariants of cycles. Among the topics treated are: cycle spaces, Chow topology, morphic cohomology, Grothendieck motives, Chow-Künneth decompositions of the diagonal, motivic cohomology via higher Chow groups, the Hodge conjecture for certain fourfolds, an effective version of Nori's connectivity theorem, Beilinson's Hodge and Tate conjecture for open complete intersections. As the lectures were intended for non-specialists many examples have been included to illustrate the theory. As such this book will be ideal for graduate students or researchers seeking a modern introduction to the state-of-the-art theory in this subject.

Sommaire

Introductory material
Lawson (co)homology
Motives and motivic cohomology
Hodge theoretic invariants of cycles

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	S. Müller-stach, C. Peters
Collection	London Mathematical Society Student Texts
Parution	14/04/2004
Nb. de pages	290
Format	15 x 22,8
Couverture	Broché
Poids	415g
Intérieur	Noir et Blanc
EAN13	9780521545471
ISBN13	978-0-521-54547-1