$\partial\bar\partial$ -流形的高页类似物的变形
Deformations of Higher-Page Analogues of $\partial\bar\partial$-Manifolds
摘要：
我们扩展的概念，本质变形的情况下岩泽流形，他们最近推出的第一个命名的作者，一般情况下页- $1$ - $\partial\bar\partial$ -流形，最近联合推出的所有三位作者。我们继续得到一个类似的畅通定理的Bogomolov，田和托多罗夫页- $1$ - $\partial\bar\partial$ -流形。作为这一讨论的应用，我们研究了某些Nakamura解流形的小变形，并从这个观点重新解释了Iwasawa流形及其$5$维类似物的情形.
英文摘要：
We extend the notion of essential deformations from the case of the Iwasawa manifold, for which they were introduced recently by the first-named author, to the general case of page-$1$-$\partial\bar\partial$-manifolds that were jointly introduced very recently by all three authors. We go on to obtain an analogue of the unobstructedness theorem of Bogomolov, Tian and Todorov for page-$1$-$\partial\bar\partial$-manifolds. As applications of this discussion, we study the small deformations of certain Nakamura solvmanifolds and reinterpret the cases of the Iwasawa manifold and its $5$-dimensional analogue from this standpoint.
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