2014/07/09 by Zachary Maddock, Maddock, Zachary
Computer Science · Mathematics · #14B05 #14D99 #14J17 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.1407.2529
openalex publication_date 2014/07/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We limit the singularities that arise in geometric generic fibers of morphisms between smooth varieties of positive characteristic by studying changes in embedding dimension under inseparable field extensions. We then use this result in the context of the minimal model program to rule out the existence of smooth varieties fibered by certain non-normal del Pezzo surfaces over bases of small dimension.