论文标题
$ \ partial \ bar \ partial $ -manifolds的高页类似物的变形
Deformations of Higher-Page Analogues of $\partial\bar\partial$-Manifolds
论文作者
论文摘要
我们将基本变形的概念从伊瓦沙（Iwasawa）的案例中扩展到了伊瓦泽（Iwasawa）的案例，这些案例是由姓名作者最近介绍的，这些案例是在这三位作者最近共同介绍的Page- $ 1 $ - $ \ partial \ bar \ part \ bar \ bar \ bar \ part \ bar \ partial \ bar \ partial \ bar \ bar \ bar \ bar \ bar \ bar \ bar \ bar \ bar \ bar \ bar。我们继续获取Bogomolov，Tian和Todorov的无障碍定理的类似物，以供Page- $ 1 $ - $ \ partial \ bar \ bar \ partial $ -manifolds。作为讨论的应用，我们研究了某些Nakamura Solvmanifolds的小变形，并重新诠释了iWasawa歧管的案例及其$ 5 $维的模拟。
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.
