Local Systems on Proper Algebraic V -manifolds

By Carlos Simpson. 2010

55 citations recorded by the source corpus.

We use coverings by smooth projective varieties then apply nonabelian Hodge techniques to study the topology of proper Deligne-Mumford stacks as well as more general simplicial varieties.

View Paper: https://www.semanticscholar.org/paper/74061f45a12532321c65609da354d8ad750dc961

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1. D. Greb
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4. Behrouz Taji
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6. Carolina Araujo
7. Henri Guenancia
8. A. Höring

Citations in the corpus

• The Miyaoka-Yau inequality and uniformisation of canonical models (2015, background): “rrespondence, [Moc06], on the smooth part ofX. AnalternativeapproachconsistsinprovingthatageneralisationoftheNonabelianHodge correspondence to the case of smooth projective DM-stacks, as discussed in [Sim11], applies to the restriction of the canonical Higgs sheaf to a complete intersection surface,”