Branched coverings of CP2 and other basic 4‐manifolds
Branched coverings of CP2 and other basic 4‐manifolds
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CP2 和其他基本 4 流形的分支覆盖
DOI：
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发表时间：
2017
影响因子：
0.9
通讯作者：
D. Zuddas
中科院分区：
文献类型：
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作者：
R. Piergallini;D. Zuddas
给出了4-流形是Cp_2、S_2×S_2、S_2×∼_2或S_3×S_1的分枝覆盖的充要条件，这些条件都是用4-流形的Betti数和符号表示的。此外，我们将这些结果推广到上述流形的连通和的分支覆盖。由此引出了闭单连通拟正则椭圆4-流形的一些新的例子。
We give necessary and sufficient conditions for a 4‐manifold to be a branched covering of CP2 , S2×S2 , S2×∼S2 or S3×S1 , which are expressed in terms of the Betti numbers and the signature of the 4‐manifold. Moreover, we extend these results to include branched coverings of connected sums of the above manifolds. This leads to some new examples of closed simply connected quasiregularly elliptic 4‐manifolds.