Geodesic
Obstructions to Approximating Tropical Curves in Surfaces Via Intersection Theory
Canadian journal of mathematics, Tome 67 (2015) no. 3, pp. 527-572

Voir la notice de l'article provenant de la source Cambridge

DOI

We provide some new local obstructions to approximating tropical curves in smooth tropical surfaces. These obstructions are based on a relation between tropical and complex intersection theories, which is also established here. We give two applications of the methods developed in this paper. First we classify all locally irreducible approximable 3-valent fan tropical curves in a fan tropical plane. Secondly, we prove that a generic non-singular tropical surface in tropical projective 3-space contains finitely many approximable tropical lines if it is of degree 3, and contains no approximable tropical lines if it is of degree 4 or more.
DOI : 10.4153/CJM-2014-014-4
Mots-clés : 14T05, 14M25, tropical geometry, amoebas, approximation of tropical varieties, intersection theory 
Brugallé, Erwan; Shaw, Kristin. Obstructions to Approximating Tropical Curves in Surfaces Via Intersection Theory. Canadian journal of mathematics, Tome 67 (2015) no. 3, pp. 527-572. doi: 10.4153/CJM-2014-014-4
@article{10_4153_CJM_2014_014_4,
     author = {Brugall\'e, Erwan and Shaw, Kristin},
     title = {Obstructions to {Approximating} {Tropical} {Curves} in {Surfaces} {Via} {Intersection} {Theory}},
     journal = {Canadian journal of mathematics},
     pages = {527--572},
     year = {2015},
     volume = {67},
     number = {3},
     doi = {10.4153/CJM-2014-014-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2014-014-4/}
}
TY  - JOUR
AU  - Brugallé, Erwan
AU  - Shaw, Kristin
TI  - Obstructions to Approximating Tropical Curves in Surfaces Via Intersection Theory
JO  - Canadian journal of mathematics
PY  - 2015
SP  - 527
EP  - 572
VL  - 67
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2014-014-4/
DO  - 10.4153/CJM-2014-014-4
ID  - 10_4153_CJM_2014_014_4
ER  - 
%0 Journal Article
%A Brugallé, Erwan
%A Shaw, Kristin
%T Obstructions to Approximating Tropical Curves in Surfaces Via Intersection Theory
%J Canadian journal of mathematics
%D 2015
%P 527-572
%V 67
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2014-014-4/
%R 10.4153/CJM-2014-014-4
%F 10_4153_CJM_2014_014_4

Cité par Sources :