Vanishing conditions for the simplicial volume of compact complex varieties
HTML articles powered by AMS MathViewer
- by Marina Ville PDF
- Proc. Amer. Math. Soc. 124 (1996), 987-993 Request permission
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
- Daniel Barlet, Espace analytique réduit des cycles analytiques complexes compacts d’un espace analytique complexe de dimension finie, Fonctions de plusieurs variables complexes, II (Sém. François Norguet, 1974–1975) Lecture Notes in Math., Vol. 482, Springer, Berlin, 1975, pp. 1–158 (French). MR 0399503
- Frederick P. Greenleaf, Invariant means on topological groups and their applications, Van Nostrand Mathematical Studies, No. 16, Van Nostrand Reinhold Co., New York-Toronto, Ont.-London, 1969. MR 0251549
- M. Goretsky and R. MacPherson, Stratified Morse Theory, Springer-Verlag, 1988.
- Michael Gromov, Volume and bounded cohomology, Inst. Hautes Études Sci. Publ. Math. 56 (1982), 5–99 (1983). MR 686042
- Sergio Sispanov, Generalización del teorema de Laguerre, Bol. Mat. 12 (1939), 113–117 (Spanish). MR 3
- S. Lojasiewicz, Triangulation of semi-analytic sets, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (3) 18 (1964), 449–474. MR 173265
Additional Information
- Marina Ville
- Email: ville@orphee.polytechnique.fr
- Received by editor(s): July 31, 1992
- Received by editor(s) in revised form: September 30, 1993
- Communicated by: Peter Li
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 987-993
- MSC (1991): Primary 14C20, 14D05, 14F35, 14F45, 20F32, 32S50, 55N35
- DOI: https://doi.org/10.1090/S0002-9939-96-02652-4
- MathSciNet review: 1246538