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Transcendental Aspects of Algebraic Cycles - Proceedings of the Grenoble Summer School, 2001 (Paperback, New)
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Transcendental Aspects of Algebraic Cycles - Proceedings of the Grenoble Summer School, 2001 (Paperback, New)
Series: London Mathematical Society Lecture Note Series
Expected to ship within 12 - 17 working days
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This is a collection of lecture notes from the Summer School
'Cycles Algebriques; 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-Kunneth 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.
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