ALGEBRAIC COMBINATORICS

no. 1
On intersections and stable intersections of tropical hypersurfaces
Ren, Yue1
1 Department of Mathematics Durham University Upper Mountjoy Campus Durham DH1 3LE United Kingdom
Algebraic Combinatorics, Volume 7 (2024) no. 1, pp. 9-15.

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.

Received:
Revised:
Accepted:
Published online:
DOI: 10.5802/alco.327
Classification: 14T10, 14T15
Keywords: tropical geometry, tropical hypersurfaces, stable intersections.
Ren, Yue 1

1 Department of Mathematics Durham University Upper Mountjoy Campus Durham DH1 3LE United Kingdom
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Ren, Yue. On intersections and stable intersections of tropical hypersurfaces. Algebraic Combinatorics, Volume 7 (2024) no. 1, pp. 9-15. doi : 10.5802/alco.327. https://alco.centre-mersenne.org/articles/10.5802/alco.327/

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