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arxiv: 1807.02579 · v2 · pith:MMLUJJIWnew · submitted 2018-07-06 · 🧮 math.NT

Recognizing Galois representations of K3 surfaces

classification 🧮 math.NT
keywords representationsassumptioncohomologycompatibleconjecturescriterionfontaine-mazurgalois
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Under the assumption of the Hodge, Tate and Fontaine-Mazur conjectures we give a criterion for a compatible system of l-adic representations to be isomorphic to the second cohomology of a K3 surface.

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