On Gorenstein Fano toric complete intersections

2025/10/13 by Hausen, Juergen, Weiss, Paul
#14J45 #14M25 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2510.11591

Abstract

We classify Q-factorial Gorenstein Fano non-degenerate complete intersection threefolds in fake weighted projective spaces.

Citations

• A classification algorithm for reflexive simplices
• The anticanonical complex for non-degenerate toric complete intersections
• On canonical Fano intrinsic quadrics
• On terminal Fano 3-folds with 2-torus action

Related

• The anticanonical complex for non-degenerate toric complete intersections
• Hyperelliptic and trigonal Fano threefolds
• On Conjecture \mathcal O for projective complete intersections
• Rationality of Fano threefolds with terminal Gorenstein singularities,\n II
• Gorenstein Fano threefolds with base points in the anticanonical system