某些晶体表示的约简和权重空间中的局部恒定性

IF 0.3 4区数学 Q4 MATHEMATICS

Journal De Theorie Des Nombres De Bordeaux Pub Date : 2018-01-23 DOI:10.5802/jtnb.1110

S. Bhattacharya

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引用次数: 5

摘要

我们研究了在一定条件下，维度2的晶体局部伽罗瓦表示在其权重和斜率上的mod$p$约简。Berger证明了对于Frobenius的固定非零迹，对于不同的权重，约简过程是局部不变的。通过显式计算，我们得到了一个上界，它是斜率的线性函数，对于权重空间中一些特殊点周围的这种局部恒定性的半径。

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Reduction of certain crystalline representations and local constancy in the weight space

We study the mod $p$ reduction of crystalline local Galois representations of dimension 2 under certain conditions on its weight and slope. Berger showed that for a fixed non-zero trace of the Frobenius, the reduction process is locally constant for varying weights. By explicit computation we obtain an upper bound that is a linear function of the slope, for the radius of this local constancy around some special points in the weight space.

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来源期刊

Journal De Theorie Des Nombres De Bordeaux MATHEMATICS-

CiteScore

0.60

自引率

0.00%

发文量

期刊介绍： The Journal de Théorie des Nombres de Bordeaux publishes original papers on number theory and related topics (not published elsewhere).