On Fano varieties with large pseudo-index

2009/10/28 by Jiun-Cheng Chen, Chen, Jiun-Cheng
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.0910.5383

openalex publication_date 2009/10/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let X be a Fano variety with at worst isolated quotient singularities. Our result asserts that if C ⋅ (-K_X) > max\(n)/(2)+1,(2n)/(3)\ for every curve C ⊂ X, then ρ_X=1.

Citations

• Characterizing Projective Spaces for Varieties with at Most Quotient Singularities

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