Non-abelian Hodge theory for non-proper varieties and the linear Shafarevich conjecture
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866911541954084864 |
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| author | Bakker, Benjamin |
| author_facet | Bakker, Benjamin |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_23467 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Non-abelian Hodge theory for non-proper varieties and the linear Shafarevich conjecture Bakker, Benjamin Algebraic Geometry 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. |
| title | Non-abelian Hodge theory for non-proper varieties and the linear Shafarevich conjecture |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2603.23467 |