上同调维数

After that, using the method of group action we get the formula for computing of dimensions of cohomology of holomorphic vector bundles with trivial pull-back on non-primary Hopf manifold, of which the fundamental group is Abelian 〓.

我们利用群作用的方法，给出了具有Abel基本群〓的非主Hopf流形上具有平凡拉回的全纯向量丛的上同调维数的计算公式。

Using derivations and skewderivations,we get the dimension of the second cohomology groups of finite-dimensional Lie superalgebras of Cartan type with a non-degenerate associativeform.

利用导子与斜导子，我们又给出了具有非退化结合型的有限维Cartan型李超代数的第二上同调群〓的维数。

The contents include the computing of dimensions of cohomology of line bundles on non-primary Hopf manifolds and their applications to the existence problem of holomorphic structure or filtrable holomorphic structure on a continuous vector bundles; the structure and the computing of dimensions of cohomology of holomorphic vector bundles with trivial pull-back.

在这篇博士学位论文中，我们研究了非主Hopf流形上全纯向量丛，主要包括：非主Hopf流形上全纯线丛的上同调维数的计算，以及它们对连续向量丛上全纯。。。

By this equality,we prove that the amplitude of a compact DG module M over a cohomologically bounded DG algebra A is just the sum of the amplitude of A and the projective dimension of M.

对于一个同调有界的连通DG代数上的紧的DG模，我们由此等式可得其振幅与DO代数的振幅的差恰是它的投射维数。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。