Translator Disclaimer
2007 Tropical Polytopes and Cellular Resolutions
Mike Develin, Josephine Yu
Experiment. Math. 16(3): 277-292 (2007).

Abstract

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.

Citation

Download Citation

Mike Develin. Josephine Yu. "Tropical Polytopes and Cellular Resolutions." Experiment. Math. 16 (3) 277 - 292, 2007.

Information

Published: 2007
First available in Project Euclid: 7 March 2008

zbMATH: 1134.52006
MathSciNet: MR2367318

Subjects:
Primary: 13D02, 52A30

Rights: Copyright © 2007 A K Peters, Ltd.

JOURNAL ARTICLE
16 PAGES


SHARE
Vol.16 • No. 3 • 2007
Back to Top