Abstract
We show that complex local systems with quasi-unipotent monodromy at infinity over a normal complex variety are Zariski dense in their moduli.
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Acknowledgments
We thank Pierre Deligne for a helpful discussion on the notion of quasi-unipotent monodromy at infinity, Ofer Gabber for mentioning the independence of ι for ρ of geometric origin and Michel Brion for kindly supplying the reference [Mil17] to us.
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Dedicated to Moshe Jarden
The first author thanks the Institute for Advanced Study where this work was initiated. The second author is supported the SFB 1085 Higher Invariants, Universität Regensburg. Both authors thank the Mathematisches Forschungsinstitut in Oberwolfach where this work was done while they enjoyed the program ‘Research in Pairs’.
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Esnault, H., Kerz, M. Local systems with quasi-unipotent monodromy at infinity are dense. Isr. J. Math. 257, 251–262 (2023). https://doi.org/10.1007/s11856-023-2527-3
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DOI: https://doi.org/10.1007/s11856-023-2527-3