References
[A-M-R-T] Ahs, A., Mumford, D., Rappoport, M., Tai, Y.-S.: Smooth compactification of locally symmetric varieties. Brookline: Math. Sci. Press 1975
[C-1] Cheeger, J.: On the spectral geometry of spaces with cone-like singularities. Proc. Natl. Acad. Sci.76, 2103–2106 (1979)
[C-2] Cheeger, J.: On the Hodge theory of Riemannian pseudomanifolds. (Proc. Symp. Pure Math., vol. 36, pp. 91–146) Providence, RI: Am. Math. Soc. 1980
[C-G-M] Cheeger, J., Goresky, M., MacPherson, R.:L 2 cohomology and intersection homology of singular varieties. In: Yau, Shing-Tung (ed.) Seminar on Differential Geometry. (Ann. Math. Stud., vol. 102, pp. 303–340) Princeton: Princeton University Press 1982
[D-F] Donnelly, H., Fefferman, C.:L 2-cohomology and index theorem for the Bergman metric. Ann. Math.118, 593–619 (1983)
[G-M-1] Goresky, M., MacPherson, R.: La dualité de Poincaré pour les espaces singuliers. C.R. Acad. Sci., Sér. A284, 1549–1551 (1977)
[G-M-2] Goresky, M., MacPherson, R.: Intersection homology theory. Topology19, 135–162 (1980)
[G-M-3] Goresky, M., MacPherson, R.: Intersection homology theory II. Invent. Math.72, 77–129 (1983)
[L] Looijenga, E.:L 2-cohomology of locally symmetric varieties. Compos. Math.67, 3–20 (1988)
[M] Mostowski, T.: Lipschitz equisingularity. Diss. Math.243 (1985)
[O-1] Ohsawa, T.: Hodge spectral sequence on compact Kähler spaces. Publ. Res. Inst. Math. Sci.23, 265–274 (1987); Supplement: Publ. Res. Inst. Math. Sci.27 (to appear)
[O-2] Ohsawa, T.: Cheeger-Goresky-MacPherson conjecture for varieties with isolated singularities. Math. Z.206, 219–224 (1991)
[O-3] Ohsawa, T.: On theL 2 cohomology groups of isolated singularities. In: Recent Developments in Differential Geometry. (Adv. Stud. Pure Math., vol. 22) Amsterdam: North-Holland and Tokyo: Kinokuniya 1991
[P] Parusiński, A.: Lipschitz properties of semi-analytic sets. Ann. Inst. Fourier38(4), 189–213 (1988)
[S-S] Saper, L., Stern, M.:L 2-cohomology of arithmetic varieties. Ann. Math.132, 1–69 (1990)
[Z] Zucker, S.:L 2-cohomology of warped products and arithmetic groups. Invent. Math.70, 169–218 (1982)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ohsawa, T. On theL 2 cohomology of complex spaces. Math Z 209, 519–530 (1992). https://doi.org/10.1007/BF02570851
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF02570851