Convex separably rationally connected complete intersections

2013/11/24 by Katsuhisa Furukawa, Furukawa, Katsuhisa · 1 citation
Mathematics · #14E08 #14J45 #14M17 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1311.6181

openalex publication_date 2013/11/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a generalization of a result of R. Pandharipande to arbitrary characteristic: We prove that, if X is a convex, separably rationally connected, smooth complete intersection in ℙ^N over an algebraically closed field of arbitrary characteristic, then X is rational homogeneous.

Cited by

• Restricted tangent bundle of rational curves on projective hypersurfaces

Related

• Convex rationally connected varieties
• Criteria for complete intersections
• Separable rational connectedness and stability
• Rational curves on complete intersections in positive characteristic
• Parseval-Rayleigh identities for homogeneous complete intersections