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arXiv · 2007.15762

Deformations of Higher-Page Analogues of $\partial\bar\partial$-Manifolds

Dan Popovici·Jonas Stelzig·Luis Ugarte
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Abstract

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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Dan Popovici, Jonas Stelzig, Luis Ugarte. 2020-07-30. Deformations of Higher-Page Analogues of $\partial\bar\partial$-Manifolds. https://arxiv.org/abs/2007.15762

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