Degrees of non-Gorenstein canonical Fano threefolds with Picard number one

2025/07/07 by Li, Minyou
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2507.04615

Abstract

We show that the optimal upper bound of the anticanonical degrees of non-Gorenstein ℚ-factorial canonical Fano threefolds with Picard number one is 200/3.

Citations

• An effective upper bound for Fano indices of canonical Fano threefolds, I
• Optimal upper bound for degrees of canonical Fano threefolds of Picard number one
• Fano varieties with conjecturally largest Fano index
• Second Chern class of Fano manifolds and anti-canonical geometry
• On generic nefness of tangent sheaves
• The index of a threefold canonical singularity

Related

• Optimal upper bound for degrees of canonical Fano threefolds of Picard number one
• Fano threefolds with canonical Gorenstein singularities and big degree
• On the degree of Fano threefolds with canonical Gorenstein singularities
• A canonical Fano threefold has degree ≤ 72
• Gorenstein Fano threefolds with base points in the anticanonical system