Deformations of log Calabi-Yau pairs can be obstructed

Simon Felten; Andrea Petracci; Sharon Robins

Deformations of log Calabi-Yau pairs can be obstructed

Algebraic Geometry 2022-02-02 v2

Authors: Simon Felten , Andrea Petracci , Sharon Robins

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.

Keywords

log Calabi-Yau pairs deformations obstructions toric geometry smooth projective variety

Cite

@article{arxiv.2109.00420,
  title  = {Deformations of log Calabi-Yau pairs can be obstructed},
  author = {Simon Felten and Andrea Petracci and Sharon Robins},
  journal= {arXiv preprint arXiv:2109.00420},
  year   = {2022}
}

Comments

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

Deformations of log Calabi-Yau pairs can be obstructed

Abstract

Keywords

Cite

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