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Mathematics - Algebra | Algebraic Cycles and Hodge Theory - Lectures given at the 2nd Session of the Centro Internazionale

Algebraic Cycles and Hodge Theory

Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Torino, Italy, June 21 - 29, 1993

Green, Mark L., Murre, Jacob P., Voisin, Claire

Albano, Alberto, Bardelli, Fabio (Eds.)

1994, VIII, 276 p.

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The main goal of the CIME Summer School on "Algebraic Cycles and Hodge Theory" has been to gather the most active mathematicians in this area to make the point on the present state of the art. Thus the papers included in the proceedings are surveys and notes on the most important topics of this area of research. They include infinitesimal methods in Hodge theory; algebraic cycles and algebraic aspects of cohomology and k-theory, transcendental methods in the study of algebraic cycles.

Content Level » Research

Keywords » Algebraic cycles - Cohomology - Hodge theory - K-theory - algebra - homology

Related subjects » Algebra - Geometry & Topology

Table of contents 

Contents: M. Green: Infinitesimal methods in Hodge theory.- J.P. Murre: Algebraic cycles and algebraic aspects of cohomology and k-theory.- C. Voisin: Transcendental methods in the study of algebraic cycles.- P. Pirola: The infinitesimal invariant of C(+)-C(-).- B. van Geemen: An introduction to the Hodge conjecture for abelian varieties.- S. Müller-Stach: A remark on height pairings.

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