Fano varieties of middle pseudoindex

2024/03/21 by Kiwamu Watanabe, Watanabe, Kiwamu
Mathematics · #14J40 #14J45 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2403.14065

openalex publication_date 2024/03/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let X be a complex smooth Fano variety of dimension n. In this paper, we give a classification of such X when the pseudoindex is equal to \dfracdim X+12 and the Picard number greater than one.

Related

• Classification of smooth Fano varieties with large pseudoindex
• Smooth Fano varieties with pseudoindex equal to half of their dimension
• Fano varieties with large pseudoindex and non-free rational curves
• Fano varieties with Nef(X)=Psef(X) and ρ(X)=dim X-1
• Generalized Mukai conjecture for special Fano varieties