Affine threefolds with A^2-fibrations
Affine threefolds with A^2-fibrations
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具有 A^2 纤维的仿射三重
DOI：
10.1007/s00031-016-9379-4
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
宮西正宜
中科院分区：
文献类型：
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作者：
宮西正宜
研究了一个含有2-柱面的仿射三重函数。2-柱面的存在几乎等价于相互交换的相互独立的Ga作用σ1，σ2的存在。这类仿射三重空间的一个典型例子是超曲面=f(x，z，t)，我们将这样的超曲面推广到仿射伪3-空间。在I.Hedén[He]之后，我们还观察到对m≥2的超曲面my=f(x，z，t)的GA-作用。
An affine threefold containing an2-cylinder is studied. The existence of2-cylinders is almost equivalent to the existence of mutually commuting, independent Ga-actions σ1, σ2. A typical example of such affine threefolds is a hypersurfacexmy = f(x, z, t), and we generalize such a hypersurface to define an affine pseudo-3-space. After I. Hedén [He], we observe also a Ga-action on the hypersurfacexmy = f(x, z, t) withm≥ 2.