Essentials of the method of maximal singularities
Essentials of the method of maximal singularities
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最大奇点法的要点
DOI：
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
A. Pukhlikov
中科院分区：
文献类型：
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作者：
A. Pukhlikov
我们首先非常简短地描述了我们学科历史上的主要事件。大约在1870年，M.Noether发现[N]射影平面BirP的双有理自同构群，也被称为Cremona群CrP，是由它的子群AutP = AutC/C和任何二次Cremona变换τ生成的，在一定的齐次坐标系中，它可以写为τ：（x 0：x1：x2）→（x1 x2：x 0x 2：x 0x 1）。诺特的论点如下。采取任何克雷莫纳变换
We start with a very brief description of the principal events in the history of our subject. About 1870 M.Noether discovered [N] that the group of birational automorphisms of the projective plane BirP, which is known also as the Cremona group CrP, is generated by its subgroup AutP = AutC/C and any quadratic Cremona transformation τ , which in a certain system of homogeneous coordinates can be written down as τ : (x0: x1: x2) → (x1x2: x0x2: x0x1). Noether’s arguments were as follows. Take any Cremona transformation