Dimension jumps in Bott–Chern and Aeppli cohomology groups

Dimension jumps in Bott–Chern and Aeppli cohomology groups
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Bott–Chern 和 Aeppli 上同调群中的维数跳跃

DOI:
10.2140/pjm.2015.273.461
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发表时间:
2015
影响因子:
0.6
通讯作者:
X. Ye
X. Ye
中科院分区:
数学4区
文献类型:
--
作者:
Jiezhu Lin;X. Ye

文献摘要

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设X是紧致复流形,π:X → B是X的一个小变形,Bott-Chern上同调群Hp,qBC(X(t))和Aeppli上同调群Hp,qA(X(t))的维数在这种变形下可能发生变化.本文
Let X be a compact complex manifold, and let π : X → B be a small deformation of X , the dimensions of the Bott–Chern cohomology groups H p , q BC ( X ( t )) and Aeppli cohomology groups H p , q A ( X ( t )) may vary under this deformation. In this paper