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arXiv · 1403.6954

Projective representations of fundamental groups of quasiprojective varieties: a realization and a lifting result

Gaël Cousin
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Abstract

We discuss two results about projective representations of fundamental groups of quasiprojective varieties. The first is a realization result which, under a nonresonance assumption, allows to realize such representations as monodromy representations of flat projective logarithmic connections. The second is a lifting result: any representation as above, after restriction to a Zariski open set and finite pull-back, can be lifted to a linear representation.

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Gaël Cousin. 2014-11-12. Projective representations of fundamental groups of quasiprojective varieties: a realization and a lifting result. https://arxiv.org/abs/1403.6954

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