Tropical Polytopes and Cellular Resolutions
Develin, Mike ; Yu, Josephine
Experiment. Math., Tome 16 (2007) no. 1, p. 277-292 / Harvested from Project Euclid
Tropical polytopes are images of polytopes in an affine space over the Puiseux series field under the degree map. This viewpoint gives rise to a family of cellular resolutions of monomial ideals that generalize the hull complex of Bayer and Sturmfels, instances of which improve upon the hull resolution in the sense of being smaller. We also suggest a new definition of a face of a tropical polytope, which has nicer properties than previous definitions; we give examples and provide many conjectures and directions for further research in this area.
Publié le : 2007-05-15
Classification:  Tropical polytope,  cellular resolution,  monomial ideal,  52A30,  13D02
@article{1204928529,
     author = {Develin, Mike and Yu, Josephine},
     title = {Tropical Polytopes and Cellular Resolutions},
     journal = {Experiment. Math.},
     volume = {16},
     number = {1},
     year = {2007},
     pages = { 277-292},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1204928529}
}
Develin, Mike; Yu, Josephine. Tropical Polytopes and Cellular Resolutions. Experiment. Math., Tome 16 (2007) no. 1, pp.  277-292. http://gdmltest.u-ga.fr/item/1204928529/