Restrictions on the Singularity Content of a Fano Polygon

Abstract: Singularity content is a combinatorial property of a Fano polygon that describes geometric properties of the qG-smoothing of the corresponding toric Fano variety. We determine restrictions on the singularity content to derive geometric results for certain orbifold del Pezzo surfaces.

algebraic geometry

Audience: researchers in the topic

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Fano Varieties and Birational Geometry