Toric Fano three-folds with terminal singularities

Kasprzyk, Alexander M.

Abstract

This paper classifies all toric Fano 3-folds with terminal singularities. This is achieved by solving the equivalent combinatoric problem; that of finding, up to the action of GL(3,Z), all convex polytopes in Z^3 which contain the origin as the only non-vertex lattice point.

Citation

Kasprzyk, A. M. (2006). Toric Fano three-folds with terminal singularities. TÔhoku Mathematical Journal, 58(1), 101-121. https://doi.org/10.2748/tmj/1145390208

• Journal Article Type: Article
• Acceptance Date: Aug 18, 2004
• Online Publication Date: Apr 18, 2006
• Publication Date: Apr 18, 2006
• Deposit Date: Nov 12, 2015
• Publicly Available Date: Nov 12, 2015
• Journal: Tohoku Mathematical Journal
• Electronic ISSN: 0040-8735
• Peer Reviewed: Peer Reviewed
• Volume: 58
• Issue: 1
• Pages: 101-121
• DOI: https://doi.org/10.2748/tmj/1145390208
• Keywords: Toric, Fano, 3-folds, terminal singularities, convex polytopes
• Public URL: https://nottingham-repository.worktribe.com/output/1019165
• Publisher URL: https://projecteuclid.org/journals/tohoku-mathematical-journal/volume-58/issue-1/Toric-Fano-three-folds-with-terminal-singularities/10.2748/tmj/1145390208.full