Calabi-Yau manifolds as complete intersections in products of complex projective spaces
Calabi-Yau manifolds as complete intersections in products of complex projective spaces
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卡拉比-丘流形作为复杂射影空间乘积的完全交集
DOI：
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发表时间：
1987
期刊：
影响因子：
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通讯作者：
Tristan Hubsch
中科院分区：
文献类型：
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作者：
P. Green;Tristan Hubsch
通过施加一定的齐次全纯约束，我们考虑具有su(3)完整的流形结构嵌入到复射影空间的积中。我们证明了每一个这样的构造都导致一类具有su(3)完整的流形的变形。对于这些流形的一个子集，我们证明了简单连通性，解决了计算第二个Betti数的问题，并显式地计算了一类结构的第二个Betti数。这建立了一个非常广泛的一类具有su(3)完整的流形，它可以通过适当选择的离散群的作用来产生更多的结构。所研究的一些例子可能产生现象学上可接受的模型。
We consider constructions of manifolds withSU(3) holonomy as embedded in products of complex projective spaces by imposing certain homogeneous holomorphic constraints. We prove that every such construction leads to one deformation class of manifolds withSU(3) holonomy. For a subset of these manifolds we prove simple connectedness, address the problem of calculating the second Betti number and explicitly calculate it for a class of constructions. This establishes a very wide class of manifolds withSU(3) holonomy, that can give rise to yet many more constructions via dividing out the action of suitably chosen discrete groups. Some of the examples studied may yield phenomenologically acceptable models.