On analytic surfaces with double points

On analytic surfaces with double points
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在具有双点的解析曲面上

DOI:
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发表时间:
1958
期刊:
Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences
影响因子:
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通讯作者:
M. Atiyah
M. Atiyah
中科院分区:
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文献类型:
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作者:
M. Atiyah

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证明了复射影三维空间中的代数曲面的非奇异模型与任何同阶非奇异曲面可微同胚。这个结果在任何其他维度都不成立。
It is shown that the non-singular model of an algebraic surface, lying in complex projective 3-space and possessing only ordinary double points, is differentiably homeomorphic to any non-singular surface of the same degree. This result does not hold in any other dimension.