Orbifold Hodge numbers of Calabi–Yau hypersurfaces

Orbifold Hodge numbers of Calabi–Yau hypersurfaces
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DOI:
10.2140/pjm.2003.208.151
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发表时间:
2001-07
影响因子:
0.6
通讯作者:
Mainak Poddar
Mainak Poddar
中科院分区:
数学4区
文献类型:
--
作者:
Mainak Poddar

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我们确定了紧简环的扭曲扇区。我们对n维简单Fano环变的一般非退化Calabi-Yau超曲面做了同样的处理,然后显式地计算了该超曲面的h1,1球和hn -2,1球。给出了轨道弦理论猜想和轨道镜像对称的应用。
We identify the twisted sectors of a compact simplicial toric variety. We do the same for a generic nondegenerate Calabi-Yau hypersurface of an n-dimensional simplicial Fano toric variety and then explicitly compute h 1,1 orb and h n-2,1 orb for the hypersurface. We give applications to the orbifold string theory conjecture and orbifold mirror symmetry.