Skip to main content
SpringerLink
Log in

Quotients of toric varieties

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Baues, H.-J.: Geometry of loop spaces and the cobar construction. Mem. Am. Math. Soc.25, 230 (1980)

    Google Scholar 

  2. Billera, L.J., Filliman, P., Sturmfels, B.: Constructions and complexity of secondary polyhedra. Adv. Math.83, 155–179 (1990)

    Google Scholar 

  3. 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.)

  4. Billera, L.J., Sturmfels, B.: Fiber polytopes, Ann. Math. (to appear)

  5. Billera, L.J., Sturmfels, B.: Coherent homotopies of polyhedral subdivisions. In preparation

  6. Danilov, V.I.: The geometry of toric varieties. Russ. Math. Surv.33, 97–154 (1978); Transl. Usp. Mat. Nauk33, 85–134 (1978)

    Google Scholar 

  7. Gaeta, F.: Associate forms, joins, multiplicities, and an intrinsic elimination theory. In: Topics in algebra (Banach Center Publications 26) Warsaw, 1990

  8. 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)

    Google Scholar 

  9. 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

    Google Scholar 

  10. Kapranov, M.M., Sturmfels, B., Zelevinsky, A.: Chow polytopes and general resultants. Technical Report 91-2, Math. Sci. Institute of Cornell University, Ithaca 1991

    Google Scholar 

  11. Lawson, H.B., Jr.: Algebraic cycles and homotopy theory. Ann. Math.129, 253–291 (1989)

    Google Scholar 

  12. Mumford, D.: Lectures on curves on an algebraic surface (Ann. Math. Studies, 59) Princeton: Princeton University Press 1966

    Google Scholar 

  13. Mumford, D., Fogarty, J.: Geometric invariant theory (2nd ed.) Berlin Heidelberg New York: Springer 1982

    Google Scholar 

  14. Oda, T.: Convex bodies and algebraic geometry (Ergeb. Math., 3. Folge, vol. 15) Berlin Heidelberg New York: Springer 1988

    Google Scholar 

  15. Shafarevich, I.R.: Basic algebraic geometry. Berlin Heidelberg New York: Springer 1977

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Cornell University, 14853, Ithaca, NY, USA

    M. M. Kapranov, B. Sturmfels & A. V. Zelevinsky

Authors
  1. M. M. Kapranov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. B. Sturmfels
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. V. Zelevinsky
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kapranov, M.M., Sturmfels, B. & Zelevinsky, A.V. Quotients of toric varieties. Math. Ann. 290, 643–655 (1991). https://doi.org/10.1007/BF01459264

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01459264

Keywords

Search

Navigation