Zariski density of crystalline points
We show that crystalline points are Zariski dense in the deformation space of a representation of the absolute Galois group of a p-adic field. We also show that these points are dense in the subspace parameterizing deformations with the determinant equal to a fixed crystalline character. Our proof i...
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| Hauptverfasser: | , , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
March 20, 2023
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| In: |
Proceedings of the National Academy of Sciences of the United States of America
Year: 2023, Jahrgang: 120, Heft: 13, Pages: 1-7 |
| ISSN: | 1091-6490 |
| DOI: | 10.1073/pnas.2221042120 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1073/pnas.2221042120 Verlag, lizenzpflichtig, Volltext: https://www.pnas.org/doi/10.1073/pnas.2221042120 
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| Verfasserangaben: | Gebhard Böckle, Ashwin Iyengar, and Vytautas Paškūnas |
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| 520 | |a We show that crystalline points are Zariski dense in the deformation space of a representation of the absolute Galois group of a p-adic field. We also show that these points are dense in the subspace parameterizing deformations with the determinant equal to a fixed crystalline character. Our proof is purely local and works for all p-adic fields and all residual Galois representations. | ||
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