Topics range from introductory lectures on algebraic cycles to more advanced material in this collection of lecture notes from the Proceedings of the Grenoble Summer School, 2001. The advanced lectures are grouped under three headings: Lawson (co)homology, motives and motivic cohomology and Hodge theoretic invariants of cycles. As the lectures were intended for non-specialists, many examples have been included.

lgli/M_Mathematics/MA_Algebra/MAg_Algebraic geometry/Mueller-Stach P., Peters C. (eds.) Transcendental aspects of algebraic cycles.. Proc. Grenoble school 2001 (LMSLN0313, CUP, 2004)(ISBN 0521545471)(600dpi)(K)(T)(308s)_MAg_.djvu

lgrsnf/M_Mathematics/MA_Algebra/MAg_Algebraic geometry/Mueller-Stach P., Peters C. (eds.) Transcendental aspects of algebraic cycles.. Proc. Grenoble school 2001 (CUP, 2004)(ISBN 0521545471)(600dpi)(K)(T)(308s)_MAg_.djvu

nexusstc/Transcendental aspects of algebraic cycles: Proc. Grenoble school 2001/c9a575d0cf8d58bf9a9bb4d6b81c75fa.djvu

Stefan Müller-Stach; Chris Peters; Grenoble Summer School

edited by S. Müller-Stach and C. Peters

Stefan J Müller-Stach

Müller-Stach, Stefan

London mathematical society Lecture note series -- 313, Cambridge [etc.], United Kingdom, 2004

London Mathematical Society lecture note series, 1. publ, Cambridge [u.a, 2004

Cambridge University Press, Cambridge, 2004

United Kingdom and Ireland, United Kingdom

Kolxo3 -- 2011

lg598927

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Includes bibliographical references

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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. Pt. I. Introductory Material -- 1. Chow Varieties, The Euler-chow Series And The Total Coordinating Ring / E. Javier Elizondo -- 2. Introduction To Lawson Homology / Chris Peters And Siegmund Kosarew -- Pt. Ii. Lawson (co)homology -- 3. Topological Properties Of The Algebraic Cycles Functor / Paulo Limo-filho -- Pt. Iii. Motives And Motivic Cohomology -- 4. Lectures On Motives / Jacob P. Murre -- 5. A Short Introduction To Higher Chow Groups / Philippe Elbaz-vincent -- Pt. Iv. Hodge Theoretic Invariants Of Cycles -- 6. Three Lectures On The Hodge Conjecture / James D. Lewis -- 7. Lectures On Nori's Connectivity Theorem / J. Nagel -- 8. Beilinson's Hodge And Tate Conjectures / Shuji Saito. Edited By S. Müller-stach And C. Peters. Collection Of Lecture Notes From The Summer School Cycles Algébriques: Aspects Transcendents, Grenoble 2001. Summer School In Mathematics Is Organized By The Institut Fourier. Includes Bibliographical References And Index.

Трансцедентальные аспекты алгебраических циклов. Материалы международного симпозиума

2011-07-22