COHOMOLOGIES OF DEFORMATIONS OF SOLVMANIFOLDS AND CLOSEDNESS OF SOME PROPERTIES
COHOMOLOGIES OF DEFORMATIONS OF SOLVMANIFOLDS AND CLOSEDNESS OF SOME PROPERTIES
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发表时间：
2013-05
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通讯作者：
Daniele Angella;H. Kasuya
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作者：
Daniele Angella;H. Kasuya
We provide further techniques to study the Dolbeault and Bott-Chern cohomologies of deformations of solvmanifolds by means of finite-dimensional complexes. By these techniques, we can compute the Dolbeault and Bott-Chern cohomologies of some complex solvmanifolds, and we also get explicit examples, showing in particular that either the $\partial\bar{\partial}$-Lemma or the property that the Hodge and Fr\"olicher spectral sequence degenerates at the first level are not closed under deformations.
