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Irreducibility of some crystalline loci with irregular Hodge-Tate weights

Irreducibility of some crystalline loci with irregular Hodge-Tate weights

We show that loci of crystalline representations of <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper G Subscript upper K"> <mml:semantics> <mml:msub> <mml:mi>G</mml:mi> <mml:mi>K</mml:mi> </mml:msub> <mml:annotation encoding="application/x-tex">G_K</mml:annotation> </mml:semantics> </mml:math> </inline-formula> for <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper K slash double-struck upper Q Subscript p"> <mml:semantics> <mml:mrow> <mml:mi>K</mml:mi> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mo>/</mml:mo> </mml:mrow> <mml:msub> <mml:mrow class="MJX-TeXAtom-ORD"> …