局部伽罗瓦变形环

IF 2.8 1区数学 Q1 MATHEMATICS

Forum of Mathematics Pi Pub Date : 2023-10-26 DOI:10.1017/fmp.2023.25

Gebhard Böckle, Ashwin Iyengar, Vytautas Paškūnas

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引用次数: 6

摘要

证明了p进局部域的绝对伽罗瓦群的模p表示的框架变形环是期望维数的完全相交。我们确定了它们的不可约分量，并证明了它们和它们的特殊纤维是法向和完全相交的。作为应用，我们证明了具有规定的p进霍奇理论性质的轨迹的密度结果。

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On local Galois deformation rings

We show that framed deformation rings of mod p representations of the absolute Galois group of a p-adic local field are complete intersections of expected dimension. We determine their irreducible components and show that they and their special fibres are normal and complete intersection. As an application, we prove density results of loci with prescribed p-adic Hodge theoretic properties.

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来源期刊

Forum of Mathematics Pi Mathematics-Statistics and Probability

CiteScore

3.50

自引率

0.00%

发文量

审稿时长

19 weeks

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