翻訳と辞書 |
Godeaux surface : ウィキペディア英語版 | Godeaux surface In mathematics, a Godeaux surface is one of the surfaces of general type introduced by Lucien Godeaux. Other surfaces constructed in a similar way with the same Hodge numbers are also sometimes called Godeaux surfaces. Surfaces with the same Hodge numbers (such as Barlow surfaces) are called numerical Godeaux surfaces. ==Construction==
The cyclic group of order 5 acts freely on the Fermat surface of points (''w : x : y : z'') in ''P''3 satisfying ''w''5 + ''x''5 + ''y''5 + ''z''5 = 0 by mapping (''w'' : ''x'' : ''y'' : ''z'') to (''w:ρx:ρ2y:ρ3z'') where ρ is a fifth root of 1. The quotient by this action is the original Godeaux surface.
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Godeaux surface」の詳細全文を読む
スポンサード リンク
翻訳と辞書 : 翻訳のためのインターネットリソース |
Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.
|
|