Serre weights for two-dimensional Galois representations

Serre weights for two-dimensional Galois representations
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二维伽罗瓦表示的 Serre 权重

DOI:
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发表时间:
2017
期刊:
影响因子:
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通讯作者:
Lambros Mavrides
Lambros Mavrides
中科院分区:
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文献类型:
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作者:
Frank Calegari;M. Emerton;Toby Gee;Lambros Mavrides

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我们证明了Dembele等人提出的Buzzard-Diamond-Jarvis猜想的显式版本(Serre weights and wild ramification in two-dimensional Galois representations,Preprint(2016),arXiv:1603.07708 [math.NT])。更确切地说,我们证明了它是等价于原来的Buzzard-Diamond-Jarvis猜想,这是证明了奇素数(下一个温和的泰勒-怀尔斯假设)在早期工作的第三作者和合著者。
We prove the explicit version of the Buzzard–Diamond–Jarvis conjecture formulated by Dembele et al. (Serre weights and wild ramification in two-dimensional Galois representations, Preprint (2016), arXiv:1603.07708 [math.NT]). More precisely, we prove that it is equivalent to the original Buzzard–Diamond–Jarvis conjecture, which was proved for odd primes (under a mild Taylor–Wiles hypothesis) in earlier work of the third author and coauthors.
DOI: 10.1017/fms.2016.27
发表时间: 2016
期刊: Forum of Mathematics, Sigma
影响因子: --
作者:
DEMBÉLÉ L
通讯作者: DEMBÉLÉ L