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Toric residues

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Arkiv för Matematik

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References

  1. Audin, M.,The Topology of Torus Actions on Symplectic Manifolds, Progress in Math.93, Birkhäuser Verlag, Basel-Boston, 1991.

    MATH  Google Scholar 

  2. Baily, W., The decomposition theorem forV-manifolds, Amer. J. Math.78 (1956), 862–888.

    Article  MathSciNet  MATH  Google Scholar 

  3. Batyrev, V., Variations of the mixed Hodge structure of affine hypersurfaces in algebraic tori,Duke Math. J. 69 (1993), 349–409.

    Article  MathSciNet  MATH  Google Scholar 

  4. Batyrev, V. andCox, D., On the Hodge structure of projective hypersurfaces in toric varieties,Duke Math. J. 75 (1994), 293–338.

    Article  MathSciNet  MATH  Google Scholar 

  5. Bruns, W. andHerzog, J.,Cohen-Macaulay Rings, Cambridge Univ. Press, Cambridge, 1993.

    MATH  Google Scholar 

  6. Cattani, E., Cox, D. andDickenstein, A., Residues in toric varieties, Preprint, 1995.

  7. Cox, D., The homogeneous coordinate ring of a toric variety,J. Algebraic Geom. 4 (1995), 17–50.

    MathSciNet  MATH  Google Scholar 

  8. Danilov, V., The geometry of toric varieties,Uspekhi Mat. Nauk 33:2 (1978), 85–134. (Russian). English transl.: Russian Math. Surveys33 (1978), 97–154.

    MathSciNet  Google Scholar 

  9. Fulton, W.,Introduction to Toric Varieties, Princeton Univ. Press, Princeton, 1993.

    MATH  Google Scholar 

  10. Gelfand, I., Kapranov, M. andZelevinsky, A.,Discriminants, Resultants, and Multidimensional Determinants, Birkhäuser Verlag, Basel-Boston, 1994.

    MATH  Google Scholar 

  11. Goto, S. andWatanabe, K., On graded rings I,J. Math. Soc. Japan 30 (1978), 179–213.

    Article  MathSciNet  MATH  Google Scholar 

  12. Griffiths, P., On the periods of certain rational integrals I,Ann. of. Math. 90 (1969), 460–495.

    Article  Google Scholar 

  13. Griffiths, P. andHarris, J.,Principles of Algebraic Geometry, Wiley, New York, 1978.

    MATH  Google Scholar 

  14. Hartshorne, R.,Residues and Duality, Lecture Notes in Math.20, Springer-Verlag, Berlin-Heidelberg-New York, 1966.

    MATH  Google Scholar 

  15. Hochster, M., Rings of invariants of tori, Cohen—Macaulay rings generated by monomials, and polytopes,Ann. of Math. 96 (1972), 318–337.

    Article  MathSciNet  Google Scholar 

  16. Kleiman, S., Toward a numerical theory of ampleness,Ann. of Math. 84 (1966), 293–344.

    Article  MathSciNet  Google Scholar 

  17. Morrison, D. andPlesser, M. R., Summing the instantons: Quantum cohomology and mirror symmetry in toric varieties,Nuclear Phys. B 440 (1995), 279–354.

    Article  MathSciNet  MATH  Google Scholar 

  18. Oda, T.,Convex Bodies and Algebraic Geometry, Springer-Verlag, Berlin-Heidelberg-New York, 1988.

    MATH  Google Scholar 

  19. Peters, C. andSteenbrink, J., Infinitesimal variation of Hodge structure and the generic Torelli theorem for projective hypersurfaces, inClassification of Algebraic and Analytic Manifolds (Ueno, K., ed.). Progress in Math.39, pp. 399–463, Birkhäuser Verlag, Basel-Boston, 1983.

    Google Scholar 

  20. Sternberg, S.,Lectures on Differential Geometry, Prentice-Hall, Englewood Cliffs, N. J., 1964.

    MATH  Google Scholar 

  21. Tsikh, A.,Multidimensional Residues and their Applications, Amer. Math. Soc., Providence, R. I., 1992.

    MATH  Google Scholar 

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Cox, D.A. Toric residues. Ark. Mat. 34, 73–96 (1996). https://doi.org/10.1007/BF02559508

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