Fano varieties with conjecturally largest Fano index

2023/08/12 by Wang, Chengxi · 3 citations
#14J17 #14J25(Primary) 14E30 #14J40 (Secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2308.06563

Abstract

For Fano varieties of various singularities such as canonical and terminal, we construct examples with large Fano index. By low-dimensional evidence, we conjecture that our examples have the largest Fano index for all dimensions.

Cited by

• A Kawamata--Miyaoka type inequality for Fano varieties of arbitrary Picard number
• A canonical Fano threefold has Fano index ≤ 66
• Degrees of non-Gorenstein canonical Fano threefolds with Picard number one

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