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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Vanishing conditions for the simplicial volume
of compact complex varieties


Author: Marina Ville
Journal: Proc. Amer. Math. Soc. 124 (1996), 987-993
MSC (1991): Primary 14C20, 14D05, 14F35, 14F45, 20F32, 32S50, 55N35
MathSciNet review: 1246538
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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.


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Additional Information

Marina Ville
Email: ville@orphee.polytechnique.fr

DOI: http://dx.doi.org/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
Article copyright: © Copyright 1996 American Mathematical Society