CM域上GL(2)的超收敛上同调、p进l函数和族

IF 0.3 4区数学 Q4 MATHEMATICS Journal De Theorie Des Nombres De Bordeaux Pub Date : 2022-01-26 DOI:10.5802/jtnb.1175

Daniel Barrera Salazar, Chris Williams

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引用次数: 2

摘要

由Stevens和Pollack–Stevens在经典模形式的设置中发起的在构造p-adic L-函数中使用过收敛上同调，现在已经在许多设置中建立起来。该方法与Ash–Stevens、Urban和Hansen的本征变种构造兼容

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Overconvergent cohomology, p-adic L-functions and families for GL(2) over CM fields

The use of overconvergent cohomology in constructing p -adic L -functions, initiated by Stevens and Pollack–Stevens in the setting of classical modular forms, has now been estab-lished in a number of settings. The method is compatible with constructions of eigenvarieties by Ash–Stevens, Urban and Hansen

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