Number of points of a nonsingular hypersurface in an odd-dimensional projective space
Number of points of a nonsingular hypersurface in an odd-dimensional projective space
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奇维射影空间中非奇异超曲面的点数
DOI：
10.1016/j.ffa.2017.08.011
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发表时间：
2017
影响因子：
1
通讯作者：
Masaaki Homma and Seon Jeong Kim
中科院分区：
文献类型：
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作者：
Masaaki Homma and Seon Jeong Kim
研究了奇维射影空间中固定次非奇异超曲面的F-q点个数，给出了点个数的一个上界。我们还给出了非奇异超曲面的完全列表，每个超曲面都实现了上界。这是我们以前研究射影三维空间中曲面的一个自然推广。
The numbers of F q-points of nonsingular hypersurfaces of a fixed degree in an odd-dimensional projective space are investigated, and an upper bound for them is given. Also we give the complete list of nonsingular hypersurfaces each of which realizes the upper bound. This is a natural generalization of our previous study of surfaces in projective 3-space.