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Plane forms and multiple-point formulas

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Algebraic Threefolds

Part of the book series: Lecture Notes in Mathematics ((LNMCIME,volume 947))

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References

  • Baker, Henry F. [1933]: Principles of Geometry. Volume VI, Introduction to the theory of algebraic surfaces and higher loci, Cambridge University Press (1933), republished by Frederick Unger Publishing Co., New York (1960).

    Google Scholar 

  • Hilbert, David [1900]: “Mathematical problems”, translated by Dr. Mary Winston Newson, Bull. Am. Math. Soc. 50 (1902), 437–479.

    MathSciNet  MATH  Google Scholar 

  • James, C. G. F. [1928]: “On the multiple tangents and multisecants of scrolls in higher space”, Proc. Lond. Math. Soc. (2) 27(1972–28), 513–540.

    Article  MathSciNet  MATH  Google Scholar 

  • Kleiman, Steven L. [1974]: “The transversality of a general translate”, Compositio Math. 38(1974), 287–297.

    MathSciNet  MATH  Google Scholar 

  • Kleiman, Steven L. [1977]: The enumerative theory of singularities. Real and comples singularities, Oslo 1976, P. Holm, ed., pp. 297–396. Sijthoff & Noordhoof (1977).

    Google Scholar 

  • Kleiman, Steven L. [1980]: “Multiple-point formulas for maps,” originally prepared in connection with the celebration of the 10th anniversary of the founding of the Univ. Simon Bolivar, Caracas, held Jan. 28–31, 1980, appeared in Vol. 3, Geometria algebrica y teoria de numeros, A. B. Altman coordinator, of the Simposia series of the university; reproduced with minor changes for a conference report on enumerative geometry and classical algebraic geometry, Nice, June (1981), Birkhäuser Boston, in press.

    Google Scholar 

  • -[1981]: “Multiple-point formulas I: iteration”, Acta Math. 147 (1981), 13–49.

    Article  MathSciNet  MATH  Google Scholar 

  • Kleiman, Steven L. [1982]: “Multiple-point formulas II: the Hilbert scheme”, in preparation.

    Google Scholar 

  • Roberts, Joel [1971]: “Generic projections of algebraic varieties”, Am. J. Math. 93(1971), 191–215.

    Article  MathSciNet  MATH  Google Scholar 

  • -[1975]: “Singularity subschemes and generic projections”, Trans. Am. Math. Soc. 212 (1975), 229–268.

    Article  MathSciNet  MATH  Google Scholar 

  • -[1980]: “Some properties of double point schemes”, Compositio Math. 41(1980), 61–94.

    MathSciNet  MATH  Google Scholar 

  • Roth, Leonard [1931]: “On plane-forms in four dimension”, Proc. London Math. Soc. (2) 33 (1931–2), 115–144.

    MATH  Google Scholar 

  • Segre, Corrado [1912]: “Mehrdimensionale Räume,” Encylopädie der Mathematischen Wissenschaften mit einschluss ihrer anwendungen, III, 2, 2, C7 (Abgeschlossen Ende 1912), B. G. Teubner, Leipzig (1921–1934), 669–972.

    Google Scholar 

  • von zur Gathen, Joachim [1980]: Sekantenräume von kurven. Inaugural-Dissertation Univ. Zurich (1980).

    Google Scholar 

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Alberto Conte

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© 1982 Springer-Verlag

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Kleiman, S.L. (1982). Plane forms and multiple-point formulas. In: Conte, A. (eds) Algebraic Threefolds. Lecture Notes in Mathematics, vol 947. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093596

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  • DOI: https://doi.org/10.1007/BFb0093596

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11587-8

  • Online ISBN: 978-3-540-39342-9

  • eBook Packages: Springer Book Archive

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