Smooth Fano varieties with pseudoindex equal to half of their dimension

2024/11/01 by Kiwamu Watanabe, Watanabe, Kiwamu
Mathematics · Physics and Astronomy · #14E30 #14J40 #14J45 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2411.00379

openalex publication_date 2024/11/01 · openalex created_date 2024/11/14 · openalex updated_date 2026/07/31

Abstract

Let X be a complex smooth Fano variety of dimension n. Assume that X admits a birational contraction of an extremal ray. In this paper, we give a classification of such X when the pseudoindex is equal to (dim X)/(2).

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