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On the L2 cohomology of complex spaces II

Published online by Cambridge University Press:  22 January 2016

Takeo Ohsawa
Takeo Ohsawa*
Affiliation:
Department of Mathematics, School of Science, Nagoya University, Chikusa-ku, Nagoya 464-01, Japan
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This is a continuation of the author’s previous work [0-6], in which we have settled a conjecture of Cheeger-Goresky-MacPherson [C-G-M] by proving that the L2 cohomology group of a compact (reduced) complex space is canonically isomorphic to its (middle) intersection cohomology group. Our aim here is, in addition to that result, to extend further the classical L2 harmonic theory to complex spaces with arbitrary singularities by establishing the following.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 127 , September 1992 , pp. 49 - 59
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1992

References

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