A rationality criterion for real Fano threefolds

2025/07/05 by Andrea Fanelli, Fanelli, Andrea, Frédéric Mangolte +1
Mathematics · #14E08 #14J30 #14J45 #14M20 #14P25 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2507.04012

openalex publication_date 2025/07/05 · openalex created_date 2025/10/09 · openalex updated_date 2026/07/28

Abstract

We study the connectedness of the real locus of smooth geometrically rational Fano threefolds and prove a sufficient criterion of ℝ-rationality.

Citations

• Smooth Fano 3-folds satisfying Condition (A)
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Related

• On the rationality of certain Fano threefolds
• Rationality of ℚ-Fano threefolds of large Fano index
• On the birational geometry of Q-Fano threefolds of large Fano index, I
• Rationality of Fano threefolds over non-closed fields
• Rationality of Fano threefolds with terminal Gorenstein singularities,\n II