On the Fine Interior of Three-Dimensional Canonical Fano Polytopes

Batyrev, Victor; Kasprzyk, Alexander; Schaller, Karin

Abstract

The Fine interior ∆FI of a d-dimensional lattice polytope ∆ is a rational subpolytope of ∆ which is important for constructing minimal birational models of non-degenerate hypersurfaces defined by Laurent polynomials with Newton polytope ∆. This paper presents some computational results on the Fine interior of all 674,688 three-dimensional canonical Fano polytopes.

Citation

Batyrev, V., Kasprzyk, A., & Schaller, K. (2022). On the Fine Interior of Three-Dimensional Canonical Fano Polytopes. In Interactions with Lattice Polytopes (11-47). https://doi.org/10.1007/978-3-030-98327-7_2

• Conference Name: Interactions with Lattice Polytopes
• Conference Location: Magdeburg, Germany
• Start Date: Sep 14, 2017
• End Date: Sep 16, 2017
• Acceptance Date: Jan 9, 2022
• Online Publication Date: Jun 9, 2022
• Publication Date: Jun 9, 2022
• Deposit Date: Dec 13, 2022
• Publisher: Springer
• Pages: 11-47
• Series Title: Springer Proceedings in Mathematics & Statistics
• Series Number: 386
• Book Title: Interactions with Lattice Polytopes
• ISBN: 978-3-030-98326-0
• DOI: https://doi.org/10.1007/978-3-030-98327-7_2
• Public URL: https://nottingham-repository.worktribe.com/output/9170262
• Publisher URL: https://link.springer.com/chapter/10.1007/978-3-030-98327-7_2