Classification of Minimal Polygons with Specified Singularity Content

2017/03/15 by Daniel Cavey, Cavey, Daniel, Edwin Kutas +1 · 1 voice · 1 citation
Mathematics · #14J45 (Secondary) #52B20 (Primary) #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14J45 #msc:52B20

paper · pdf · doi:10.48550/arxiv.1703.05266

18 pages, 2 figures

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.

Cited by

• Projection Cascades of models of log del Pezzo surfaces

Discussions

• "Classification of Minimal Polygons with Specified Singularity Content" by Daniel Cavey and Edwin Kutas. arxiv.org/abs/1703.05266 [bsky, 0 points, 1 comments]

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