Deformations of log Calabi-Yau pairs can be obstructed

Abstract

We exhibit examples of pairs $(X,D)$ where $X$ is a smooth projective variety and $D$ is an anticanonical reduced simple normal crossing divisor such that the deformations of $(X,D)$ are obstructed. These examples are constructed via toric geometry.

13 pages. v2: final version; the base field is now denoted by $\mathbb{k}$, following the referee's suggestion

Cited by in corpus (1)

• On deformation spaces of toric singularities and on singularities of K-moduli of Fano varieties