Zariski density of crystalline points.
Where this comes from
- Record sourced from PubMed, PMID 36940344.
- Also identified by DOI 10.1073/pnas.2221042120 and PMC identifier 10068827.
- Licence recorded as CC BY-NC-ND.
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Abstract
We show that crystalline points are Zariski dense in the deformation space of a representation of the absolute Galois group of a <i>p</i>-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 <i>p</i>-adic fields and all residual Galois representations.