Extremal Surfaces in Positive Characteristic

Abstract: What is the most singular possible point on any variety in positive characteristic? In recent joint work with Zhibek Kadyrsizova, Jennifer Kenkel, Jyoti Singh, Karen Smith, Adela Vraciu, and Emily Witt, we gave a precise answer to this question for cone points on hypersurfaces using a measure of singularity called the F-pure threshold, and we called these “most singular” hypersurfaces extremal hypersurfaces. In this talk, I’ll focus on the special case of extremal surfaces and discuss some of their other surprising properties. This talk is based on joint work with Anna Brosowsky, Tim Ryan, and Karen Smith.

commutative algebra

Audience: researchers in the topic

Fellowship of the Ring

Series comments: Description: National Commutative Algebra Seminar

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