Tropical Polytopes and Cellular Resolutions

  title={Tropical Polytopes and Cellular Resolutions},
  author={Mike Develin and Josephine Yu},
  journal={Experimental Mathematics},
  pages={277 - 291}
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 [Bayer and Sturmfels 98], 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… 
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Tropical Half-Spaces.
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  • 2005
Combinatorial Commutative Algebra, Graduate Texts in Mathematics
  • Combinatorial Commutative Algebra, Graduate Texts in Mathematics
  • 2004
Tropical Convexity via Cellular Resolutions, " math.MG/0503279
  • Tropical Convexity via Cellular Resolutions, " math.MG/0503279
Tropical halfspaces " , preprint, math
  • Tropical halfspaces " , preprint, math
American Institute of Mathematics, 360 Portage Ave
  • American Institute of Mathematics, 360 Portage Ave