Deformations of higher-page analogues of partial derivative partial derivative-manifolds

Popovici, Dan; Stelzig, Jonas und Ugarte, Luis (2021): Deformations of higher-page analogues of partial derivative partial derivative-manifolds. In: Mathematische Zeitschrift, Vol. 300, No. 3: pp. 2611-2635

Abstract

We extend the notion of small essential deformations of Calabi-Yau complex structures 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 derivative partial derivative-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 Calabi-Yau page-1-partial derivative partial derivative-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.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 0025-5874
• Language: English