• Corpus ID: 240288531

Geometry of Smooth Extremal Surfaces

@inproceedings{Brosowsky2021GeometryOS,
  title={Geometry of Smooth Extremal Surfaces},
  author={Anna Brosowsky and Janet Page and Tim Ryan and Karen E. Smith},
  year={2021}
}
We study the geometry of the smooth projective surfaces that are defined by Frobenius forms, a class of homogenous polynomials in prime characteristic recently shown to have minimal possible F-pure threshold among forms of the same degree. We call these surfaces extremal surfaces, and show that their geometry is reminiscent of the geometry of smooth cubic surfaces, especially non-Frobenius split cubic surfaces of characteristic two, which are examples of extremal surfaces. For example, we show… 
1 Citations
Lower Bounds on the F-pure Threshold and Extremal Singularities
. We prove that if f is a reduced homogenous polynomial of degree d , then its F -pure threshold at the unique homogeneous maximal ideal is at least 1 d − 1 . We show, furthermore, that its F -pure

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