English

Classification of Minimal Polygons with Specified Singularity Content

Algebraic Geometry 2017-03-16 v1

Abstract

It is known that there are only finitely many mutation-equivalence classes with a given singularity content, and each of these equivalence classes contains only finitely many minimal polygons. We describe an efficient algorithm to classify these minimal polygons. To illustrate this algorithm we compute all mutation-equivalence classes of Fano polygons with a fixed basket of singularities in two examples.

Keywords

Cite

@article{arxiv.1703.05266,
  title  = {Classification of Minimal Polygons with Specified Singularity Content},
  author = {Daniel Cavey and Edwin Kutas},
  journal= {arXiv preprint arXiv:1703.05266},
  year   = {2017}
}

Comments

18 pages, 2 figures

R2 v1 2026-06-22T18:46:41.769Z