Hypersurfaces with too many rational curves
Hypersurfaces with too many rational curves
复制标题
具有太多有理曲线的超曲面
DOI：
10.1007/s00208-014-1024-8
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发表时间：
2014
影响因子：
1.4
通讯作者：
Roya Beheshti
中科院分区：
文献类型：
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作者：
Roya Beheshti
研究了低次光滑有理曲线空间大于预期的光滑次超曲面，并证明了在一定条件下，这类超曲面的中上同的本原部分具有非平凡的Hodge子结构。作为一个应用，我们证明了任意次为1的光滑Fano超曲面上的直线空间具有期望维数。
We study smooth hypersurfaces of degreeinwhose spaces of smooth rational curves of low degrees are larger than expected, and show that under certain conditions, the primitive part of the middle cohomology of such hypersurfaces have non-trivial Hodge substructures. As an application, we prove that the space of lines on any smooth Fano hypersurface of degreeinhas the expected dimension.
DOI：
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发表时间：
2006
期刊：
Integrable systems, geometry, and topology, AMS/IP Studies of Advanced Mathematics, American Mathematical Society 36
影响因子：
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作者：
FURUYA;Jun;Martin Guest
通讯作者：
Martin Guest