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The Toledo invariant on smooth varieties of general type.

The Toledo invariant on smooth varieties of general type.

Authors :
Koziarz, Vincent
Maubon, Julien
Source :
Journal für die Reine und Angewandte Mathematik; Dec2010, Vol. 2010 Issue 649, p207-230, 24p, 1 Chart
Publication Year :
2010

Abstract

We propose a definition of the Toledo invariant for representations of fundamental groups of smooth varieties of general type into semisimple Lie groups of Hermitian type. This definition allows to generalize the results known in the classical case of representations of complex hyperbolic lattices to this new setting: assuming that the rank of the target Lie group is not greater than two, we prove that the Toledo invariant satisfies a Milnor-Wood type inequality and we characterize the corresponding maximal representations. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00754102
Volume :
2010
Issue :
649
Database :
Complementary Index
Journal :
Journal für die Reine und Angewandte Mathematik
Publication Type :
Academic Journal
Accession number :
56474783
Full Text :
https://doi.org/10.1515/CRELLE.2010.093