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Mathematical Research Letters
Volume 30 (2023)
Number 5
Deformations of log Calabi–Yau pairs can be obstructed
Pages: 1357 – 1374
DOI: https://dx.doi.org/10.4310/MRL.2023.v30.n5.a3
Authors
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.
Received 13 September 2021
Received revised 10 January 2022
Accepted 19 January 2022
Published 14 May 2024