Small resolutions of the Segre cubic
Small resolutions of the Segre cubic
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Segre 三次方的小分辨率
DOI：
10.1016/1385-7258(87)90015-1
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发表时间：
1987
影响因子：
2.4
通讯作者：
Hans Finkelnberg
中科院分区：
文献类型：
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作者：
Hans Finkelnberg
如果X是一个只有普通双点的三重射影，则可以通过用P 1代替而不是用曲面代替每个奇点来获得X的光滑“小”分辨率。对于每一个双点，有两种方法可以做到这一点。一个有趣的事实是，这样一个小的决议不一定是投射的。本文将研究P4中具有10个普通双点的唯一三次超曲面塞格雷三次曲面的小分解。
If X is a projective threefold with only ordinary double points, it is possible to obtain a smooth “small” resolution of X by replacing every singular point not by a surface, but by a P 1. For every double point there are two ways to do so. It is an interesting fact that such a small resolution need not be projective. In this article we shall investigate the small resolutions of the Segre cubic, ie the unique cubic hypersurface in P 4 with 10 ordinary double points.