Algebraic Cycles and Hodge Theory [electronic resource] : Lectures given at the 2nd Session of the Centro Internationale Matematico Estivo (C.I.M.E.) held in Torino, Italy, June 21-29, 1993 / by Mark L. Green, Jacob P. Murre, Claire Voisin ; edited by Fabio Bardelli, Alberto Albano.

By: Green, Mark L [author.]Contributor(s): Murre, Jacob P [author.] | Voisin, Claire [author.] | Bardelli, Fabio [editor.] | Albano, Alberto [editor.] | SpringerLink (Online service)Material type: TextTextSeries: Lecture Notes in Mathematics, Fondazione C.I.M.E., Firenze ; 1594Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1994Description: VIII, 276 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540490463Subject(s): Mathematics | Geometry, algebraic | Algebraic topology | Mathematics | Algebraic Geometry | Algebraic TopologyAdditional physical formats: Printed edition:: No titleDDC classification: 516.35 LOC classification: QA564-609Online resources: Click here to access online
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.
In: Springer eBooksSummary: 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.
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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.

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.

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