一般型光滑簇的Toledo不变量
The Toledo invariant on smooth varieties of general type
摘要：
我们提出了一个定义的托莱多不变量表示的基本群的光滑簇的一般类型到半单李群的埃尔米特型。这个定义允许推广的结果，在经典的情况下表示复杂的双曲格到这个新的设置：假设目标李群的秩不大于大于2，我们证明了托莱多不变量满足Milnor-Wood型不等式，我们表征相应的最大表示。
英文摘要：
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.
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