How to calculate homology groups of spaces of nonsingular algebraic projective hypersurfaces

How to calculate homology groups of spaces of nonsingular algebraic projective hypersurfaces
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如何计算非奇异代数射影超曲面空间的同调群

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发表时间:
2014
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通讯作者:
V. Vassiliev
V. Vassiliev
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作者:
V. Vassiliev

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本文给出了$CP^n$中d次非奇异代数超曲面空间的上同调群的一般计算方法。利用这种方法,计算了n=2,dle = 4,n=3=d的空间的有理上同调群.
A general method of computing cohomology groups of the space of nonsingular algebraic hypersurfaces of degree $d$ in $CP^n$ is described. Using this method, rational cohomology groups of such spaces with $n=2, d le 4$ and $n=3=d$ are calculated.