Hostname: page-component-55f67697df-jr75m Total loading time: 0 Render date: 2025-05-10T06:58:08.582Z Has data issue: false hasContentIssue false
  • English
  • Français

On the semisimplicity of the algebra associated to a polarized algebraic variety

Published online by Cambridge University Press:  22 January 2016

Yoshifumi Kato
Yoshifumi Kato*
Affiliation:
Nagoya University
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let V be a compact nonsingular algebraic variety of dimension n with a Hodge structure ω and let Hi,i(V,C) be the subgroup of 2i-th cohomology group H2i(V,C) represented by harmonic (i,i)-forms on V with respect to ω.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 55 , November 1974 , pp. 81 - 89
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1974

References

[1] Weil, A., Introduction a l’étude des variétés kãhlériennes, Hermann Paris, 1957.Google Scholar
[2] Lang, S., Abelian variety, Interscience Publishers, 1958.Google Scholar
[3] Schafer, R. D., An introduction to nonassociative algebras, Academic Press, 1966.Google Scholar
[4] Morikawa, H., On a certain algebra associated to a polarized algebraic variety, Nagoya Math. Jour, vol. 53.Google Scholar
[5] Grothendieck, A. Éléments de géométrie algébrique II, I.H.E.S., 1961.Google Scholar