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Vanishing conditions for the simplicial volume of compact complex varieties

Author(s): Marina Ville
Journal: Proc. Amer. Math. Soc. 124 (1996), 987-993.
MSC (1991): Primary 14C20, 14D05, 14F35, 14F45, 20F32, 32S50, 55N35
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Abstract: Gromov has defined a notion of simplicial volume: it is a topological invariant for compact manifolds which is closely related to the fundamental group. We investigate here the relevance of this notion in the realm of complex varieties.

References:

[Ba]
D. Barlet, Espace analytique réduit des cycles analytiques complexes compacts d'un espace analytique complexe de dimension finie, Fonctions de Plusieurs Variables Complexes (Séminaire François Norguet 1974--75), Lecture Notes in Math., vol. 482, Springer-Verlag, Berlin and New York, 1975, pp. 1--158. MR 53:3347

[Gr]
F. Greenleaf, Invariant means on topological groups, Van Nostrand & Reinhold, Princeton, NJ, 1969. MR 40:4776

[Go-McPh]
M. Goretsky and R. MacPherson, Stratified Morse Theory, Springer-Verlag, 1988.

[Gro]
M. Gromov, Volume and bounded cohomology, Inst. Hautes Études Sci. Publ. Math. 56 (1982), 1--99. MR 84h:53053

[Hu-Wa]
W. Hurewicz and H. Wallman, Dimension theory, Princeton Univ. Press, Princeton, NJ, 1941. MR 3:312b

[Lj]
S. Lojasiewicz, Triangulation of semi-analytic sets, Ann. Scuola Norm. Sup. Pisa Ser. III 18 (1964), 449--474. MR 30:3478


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Additional Information:

Marina Ville
Affiliation: Centre de Mathématiques, École Polytechnique, 91128 Palaiseau Cedex, France
Email: ville@orphee.polytechnique.fr

DOI: 10.1090/S0002-9939-96-02652-4
PII: S 0002-9939(96)02652-4
Keywords: Simplicial volume, complex variety, fundamental group, bounded cohomology
Received by editor(s): July 31, 1992
Received by editor(s) in revised form: September 30, 1993
Communicated by: Peter Li
Copyright of article: Copyright 1996, American Mathematical Society

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