Fano Hypersurfaces in Positive Characteristic

2011/11/12 by Yi Zhu, Zhu, Yi · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.1111.2964

openalex publication_date 2011/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that a general Fano hypersurface in a projective space over an algebraically closed field of arbitrary characteristic is separably rationally connected.

Cited by

• Separable rational connectedness and k-plane sections of hypersurfaces

Related

• Fano varieties and linear sections of hypersurfaces
• Some pathologies of Fano manifolds in positive characteristic
• Schémas de Fano
• Rational endomorphisms of Fano hypersurfaces
• Separable rational connectedness and k-plane sections of hypersurfaces