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arXiv · 2603.23467

Non-abelian Hodge theory for non-proper varieties and the linear Shafarevich conjecture

Benjamin Bakker
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Abstract

We survey recent advances in non-abelian Hodge theory in the "mixed" setting of non-proper algebraic varieties. We then describe how these tools are used to construct algebraic Shafarevich morphisms and prove a version of the linear Shafarevich conjecture for any algebraic variety.

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Benjamin Bakker. 2026-03-24. Non-abelian Hodge theory for non-proper varieties and the linear Shafarevich conjecture. https://arxiv.org/abs/2603.23467

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