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The Toledo invariant on smooth varieties of general type.
The Toledo invariant on smooth varieties of general type.
- 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]
- Subjects :
- LIE groups
LATTICE theory
MATHEMATICAL inequalities
MATHEMATICS
AUTOMORPHISMS
Subjects
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