References
Baues, H.-J.: Geometry of loop spaces and the cobar construction. Mem. Am. Math. Soc.25, 230 (1980)
Billera, L.J., Filliman, P., Sturmfels, B.: Constructions and complexity of secondary polyhedra. Adv. Math.83, 155–179 (1990)
Billera, L.J., Kapranov, M.M., Sturmfels, B.: On a conjecture of Baues in the theory of loop spaces. Technical Report 91-19, Math. Sci. Institute of Cornell University, Ithaca, 1991 (to appear in Bull. Am. Math. Soc.)
Billera, L.J., Sturmfels, B.: Fiber polytopes, Ann. Math. (to appear)
Billera, L.J., Sturmfels, B.: Coherent homotopies of polyhedral subdivisions. In preparation
Danilov, V.I.: The geometry of toric varieties. Russ. Math. Surv.33, 97–154 (1978); Transl. Usp. Mat. Nauk33, 85–134 (1978)
Gaeta, F.: Associate forms, joins, multiplicities, and an intrinsic elimination theory. In: Topics in algebra (Banach Center Publications 26) Warsaw, 1990
Gelfand, I.M., Zelevinsky, A.V., Kapranov, M.M.: Discriminants of polynomials in several variables and triangulations of Newton polytopes. Algebra Anal.2, No. 3, 1–62 (1990) (In Russian; English translation to appear in Leningrad Math. J., 1991)
Goresky, M., MacPherson, R.: On the topology of algebraic torus actions (Lect. Notes Math., vol. 1271) pp. 73–90. Berlin Heidelberg New York: Springer 1987
Kapranov, M.M., Sturmfels, B., Zelevinsky, A.: Chow polytopes and general resultants. Technical Report 91-2, Math. Sci. Institute of Cornell University, Ithaca 1991
Lawson, H.B., Jr.: Algebraic cycles and homotopy theory. Ann. Math.129, 253–291 (1989)
Mumford, D.: Lectures on curves on an algebraic surface (Ann. Math. Studies, 59) Princeton: Princeton University Press 1966
Mumford, D., Fogarty, J.: Geometric invariant theory (2nd ed.) Berlin Heidelberg New York: Springer 1982
Oda, T.: Convex bodies and algebraic geometry (Ergeb. Math., 3. Folge, vol. 15) Berlin Heidelberg New York: Springer 1988
Shafarevich, I.R.: Basic algebraic geometry. Berlin Heidelberg New York: Springer 1977
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Kapranov, M.M., Sturmfels, B. & Zelevinsky, A.V. Quotients of toric varieties. Math. Ann. 290, 643–655 (1991). https://doi.org/10.1007/BF01459264
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DOI: https://doi.org/10.1007/BF01459264