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
1994
ISBN: 978-3-540-58692-0
Verlag: Springer Berlin Heidelberg

Buch, Englisch, 276 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 446 g

Reihe: C.I.M.E. Foundation Subseries

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.

Zielgruppe

Research

Autoren/Hrsg.

Green, Mark L.

Murre, Jacob P.

Voisin, Claire

Albano, Alberto

Bardelli, Fabio

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Mathematik | Informatik Mathematik Topologie Algebraische Topologie
• Mathematik | Informatik Mathematik Algebra Homologische Algebra

Inhaltsverzeichnis

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.