Some pathologies of Fano manifolds in positive characteristic

2017/06/18 by Ilya Karzhemanov, Karzhemanov, Ilya
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1706.05696

openalex publication_date 2017/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct examples of Fano manifolds, which are defined over a field of positive characteristic, but not over \com.

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