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Birational morphisms to ℙ2: An ideal-theoretic perspective

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References

  • [A] Abhyankar, S.: Ramification theoretic methods in algebraic geometry. Annals of Mathematical Studies, Vol. 43. Princeton: Princeton University Press 1959

    Google Scholar 

  • [AG] Hartshorne, R.: Algebraic geometry. Berlin, Heidelberg, New York: Springer 1977

    Google Scholar 

  • [B] Bese, E.: On the spannedness and very ampleness of certain line bundles on the blow-ups of ℙ 2ℂ andF r . Math. Ann.262, 225–238 (1983)

    Google Scholar 

  • [BH] Brun, J., Hirschowitz, A.: Sur la stratification par la postulation du schema de Hilbert Preprint, 1984

  • [DGM] Davis, E., Geramita, A., Maroscia, P.: Perfect homogeneous ideals: Dubreil's theorems revisited. Bull. Sci. Math.108, 143–185 (1984)

    Google Scholar 

  • [D] Davis, E.: Complete intersections of codimension 2 in ℙr: the Bezout-Jacobi-Segre theorem revisited. Rend. Sem. Mat. Torino43, 333–353 (1985)

    Google Scholar 

  • [D 1] Davis, E.: 0-dimensional subschemes of ℙ2: new applications of Castelnuovo's Function. Ann. Univ. Ferrara32, 93–107 (1986). Preprint No. 76, 1986

    Google Scholar 

  • [D 2] Davis, E.: 0-dimensional subschemes of ℙ2: lectures on Castelnuovo's Function (excerpts from the preceding item), The Curves Seminar at Queen's Volume IV. Queen's Pap. Pure Appl. Math. No. 76.

  • [DG] Davis, E., Geramita, A.: Bese's very ampleness theorem and punctured complete intersections. Loc. cit.

  • [H] Hirschowitz, A.: Forthcoming paper on divisors on rational surfaces

  • [H 1] Harbourne, B.: Complete linear systems on rational surfaces. TAMS,289, 213–226 (1985)

    Google Scholar 

  • [H 2] Harbourne, B.: Geometry of rational surfaces and Hilbert functions of points in the plane. Proc. 1984 Vancouver Conf. on Alg. Geo. CMS Conference Proceedings. AMS6, 95–111, (1984)

    Google Scholar 

  • [R] Room, T.: The geometry of determinantal loci. Cambridge: University Press 1938

    Google Scholar 

  • [SR] Semple, J., Roth, L.: Introduction to algebraic geometry. Oxford: Clarendon Press 1949

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, SUNYA, 12222, Albany, NY, USA

    Edward D. Davis

  2. Department of Mathematics and Statistics, Queen's University, K7L 3N6, Kingston, Ontario, Canada

    Anthony V. Geramita

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  1. Edward D. Davis
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  2. Anthony V. Geramita
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This author gratefully acknowledges the support of the CNR of Italy and the hospitality of the University of Genoa and the Politecnico of Torino during part of the preparation of this work

This author was supported in part by a grant from the NSERC of Canada. He offers thanks also to the members of the Mathematics Department of Brandeis University for their kind hospitality during the initial stages of this research

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Davis, E.D., Geramita, A.V. Birational morphisms to ℙ2: An ideal-theoretic perspective. Math. Ann. 279, 435–448 (1988). https://doi.org/10.1007/BF01456280

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