Lines on projective hypersurfaces
Lines on projective hypersurfaces
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射影超曲面上的线
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
Roya Beheshti
中科院分区：
文献类型：
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作者：
Roya Beheshti
摘要研究了射影空间中超曲面上直线的Hilbert格式。主要结果是，对于特征为零的代数闭域上最多为6次的光滑Fano超曲面，直线的Hilbert格式总是具有期望维数。
Abstract We study the Hilbert scheme of lines on hypersurfaces in the projective space. The main result is that for a smooth Fano hypersurface of degree at most 6 over an algebraically closed field of characteristic zero, the Hilbert scheme of lines has always the expected dimension.