[過去ﾛｸﾞ] 現代数学の系譜11 ガロア理論を読む14 [転載禁止]©2ch.net (562ﾚｽ)
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45(1): 現代数学の系譜11 ガロア理論を読む 2015/06/27(土)18:31 ID:OGuofPc2(16/27) AAS
つづき

Indeed Andrey A. Bolibrukh (1990) found a counterexample to Plemelj's statement.
This is commonly viewed as providing a counterexample to the precise question Hilbert had in mind;
Bolibrukh showed that for a given pole configuration certain monodromy groups can be realised by regular, but not by Fuchsian systems.
(In 1990 he published the thorough study of the case of regular systems of size 3 exhibiting all situations when such counterexamples exists.
In 1978 Dekkers had shown that for systems of size 2 Plemelj's claim is true.
Andrey A. Bolibrukh (1992) and independently Vladimir Kostov (1992) showed that for any size, an irreducible monodromy group can be realised by a Fuchsian system.
省6

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58: 現代数学の系譜11 ガロア理論を読む 2015/06/28(日)07:01 ID:pEaR/2gu(1/7) AAS
>>45
>要するに、日本語の記事の結論間違っているみたい

こういうのを見ると、日本語の情報だけでは不足だということが良く分かる
日本のwikipediaを見たときに、左のEnglishのリンクも開いて見ておくの良いですね

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