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[LMSLNS 343-344] Algebraic Cycles and Motives [Nagel] [London Mathematical Society Lecture Note Series].pdf

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[LMSLNS 343-344] Algebraic Cycles and Motives [Nagel] [London Mathematical Society Lecture Note Series].pdf

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[LMSLNS 343-344] Algebraic Cycles and Motives [Nagel] [London Mathematical Society Lecture Note Series].pdf

文档介绍

文档介绍:Annual EAGER Conference And
Workshop On the Occasion of
J. Murre’s 75–th Birthday
on Algebraic Cycles and Motives
August 30– September 3, 2004
Leiden University, herlands
Edited by
Jan Nagel
Universit´ede Lille I
Chris Peters
Universit´ede Grenoble I
Contents
Foreword page 4
Part I Survey Articles 11
1 The Motivic Vanishing Cycles and the Conservation Con-
jecture J. Ayoub 13
2 On the Theory of 1-Motives L. Barbieri-Viale 67
3 Motivic position for Resolutions of Threefolds M.
de Cataldo and L. Migliorini 114
4 Correspondences and Transfers F. D´eglise 151
5 Algebraic Cycles and Singularities of Normal Functions M.
Green and Ph. Griffiths 219
6 Zero Cycles on Singular Varieties A. Krishna and V. Srini-
vas 278
7 Modular Curves, Surfaces and Threefolds D. Ramakrish-
nan 292
Part II Research Articles 307
8 Beilinson’s Hodge Conjecture with Coefficients M. Asakura
and S. Saito 309
9 On the Splitting of the Bloch-Beilinson Filtration A. Beau-
ville 344
10 K¨h Projectors S. Bloch and H. Esnault 359
11 The Brill-Noether Curve of a Stable Bundle on a Genus Two
Curve S. Brivio and A. Verra 378
3
4 Contents
12 On Tannaka duality for vector bundles on p-adic curves C.
Deninger and A. Werner 399
13 On finite-dimensional motives and Murre’s conjecture U.
Jannsen 417
14 On the Transcendental Part of the Motive of a Surface B.
Kahn, . Murre and C. Pedrini 448
15 A note on finite dimensional motives Kimura, S.-I. 508
16 Real Regulators on plexes, II J. D. Lewis 519
17 Motives for Picard modular surfaces A. Miller, S. M¨uller-
Stach, S. Wortmann, Y.-, K. Zuo 546
18 The Regulator Map plete Intersections J. Nagel 582
19 Hodge Number Polynomials for Nearby and Vanishing Co-
homology C. Peters and J. Steenbrink 594
20 Direct Image of plexes M. Saito 609
21 Mordell-Weil Lattices of Certain Elliptic K3’s T. Shioda 624
22 Motives from Diffraction J. Stienstra 645
Foreword
This proceedings contains a selection of p