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Bibliographic Details
Main Authors: Costantini, Matteo, Greb, Daniel
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2308.05586
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Table of Contents:
  • We generalize the definition of the Toledo invariant for representations of fundamental groups of smooth varieties of general type due to Koziarz and Maubon to the context of singular klt varieties, where the natural fundamental groups to consider are those of smooth loci. Assuming that the rank of the target Lie group is not greater than two, we show that the Toledo invariant satisfies a Milnor-Wood type inequality and we characterize the corresponding maximal representations.