Deformation types of Looijenga pairs of small length

Angelica Simonetti

Deformation types of Looijenga pairs of small length

Algebraic Geometry 2023-11-23 v1

Authors: Angelica Simonetti

Abstract

Following the work already done by E. Looijenga and others, we provide an analysis of the deformation types of Looijenga (or anticanonical) pairs $(Y,D)$ , where the anticanonical divisor $D$ is made of $n$ irreducible components and $6\leq n \leq9$ . In doing so we also give a description of their toric models.

Keywords

looijenga pairs anticanonical divisor deformation types toric models algebraic geometry

Cite

@article{arxiv.2311.13026,
  title  = {Deformation types of Looijenga pairs of small length},
  author = {Angelica Simonetti},
  journal= {arXiv preprint arXiv:2311.13026},
  year   = {2023}
}

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