On intersections and stable intersections of tropical hypersurfaces

Ren, Yue

Abstract

We prove that every connected component of an intersection of tropical hypersurfaces contains a point of their stable intersection unless that stable intersection is empty. This is done by studying algebraic hypersurfaces that tropicalize to them and the tropicalization of their intersection.

Citation

Ren, Y. (2024). On intersections and stable intersections of tropical hypersurfaces. Algebraic combinatorics, 7(1), 9-15. https://doi.org/10.5802/alco.327

• Journal Article Type: Article
• Acceptance Date: Jul 31, 2023
• Online Publication Date: Feb 22, 2024
• Publication Date: 2024-02
• Deposit Date: May 29, 2024
• Publicly Available Date: May 29, 2024
• Journal: Algebraic Combinatorics
• Electronic ISSN: 2589-5486
• Publisher: MathOA
• Peer Reviewed: Peer Reviewed
• Volume: 7
• Issue: 1
• Pages: 9-15
• DOI: https://doi.org/10.5802/alco.327
• Public URL: https://durham-repository.worktribe.com/output/2467094