Keywords
- Triple Point
- Double Point
- Generic Projection
- Singular Locus
- Smooth Point
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Bibliography
M. Artin, On Enriques Surfaces, Doctoral thesis, Harvard University, 1960.
H.F. Baker, Principles of geometry. Vol.VI. Introduction to the theory of algebraic surfaces and higher loci. Cambridge Univ.Press, 1933.
W. Fulton, "Rational equivalence on singular varieties". Publ.Math.IHES, 45 (1976), Paris.
G. Kempf, D. Laksov, "The determinantal formula of Schubert calculus". Acta Math., 132 (1974), 153–162.
S. Kleiman, "The enumerative theory of singularities". Proceedings of the Nordic Summer School, Oslo 1976(Noordhoff).
D. Laksov, "Secant bundles and Todd's formula for the double points of maps into ℙn". Preprint, M.I.T., 1976.
E. Lluis, "De las singularidades que aparacen al proyectar variedades algebraicas". Bol.Soc.Mat. Mexicana, Ser. 2, 1 (1956), 1–9.
M. Noether, "Sulle curve multiple di superficie algebriche". Ann.d.Mat., 5 (1871–3), 163–177.
R. Piene, "Polar classes of singular varieties". Ann, scient. Éc. Norm. Sup. t. 11, 1978, fasc. 2.
R. Piene, "A proof of Noether's formula for the arithmetic genus of an algebraic surface". Preprint, M.I.T., 1977.
R.Piene, "Numerical characters of a curve in projective n-space". Proceedings of the Nordic Summer School, Oslo 1976 (Noordhoff).
J. Roberts, "Generic projections of algebraic varieties". Am.J.Math., 93 (1971), 191–215.
J. Roberts, "Singularity subschemes and generic projections". Trans.AMS, 212 (1975), 229–268.
J. Roberts, "Variations of singular cycles in an algebraic family of morphisms". Trans.AMS, 168 (1972), 153–164.
L. Roth, "Some formulae for primals in four dimensions". Proc. London Math.Soc., Ser. 2, 35 (1933), 540–550.
G. Salmon, A treatise on the analytic geometry of three dimensions. Vol. II, 5th ed., Dublin 1915.
N. Katz, "Pinceaux de Lefschetz: théorème d'existence". Exp. XVII in SGA 7, II, Springer L.N.M., 340.
J.G. Semple, S. Roth, Introduction to algebraic geometry. Oxford 1949.
I. Vainsencher, On the formula of de Jonquières for multiple contacts. Doctoral thesis, M.I.T., 1976.
A. Wallace, "Tangency and duality over arbitrary fields". Proc. London Math.Soc., Ser. 3, 6 (1956), 321–342.
H.G. Zeuthen, "Révision et extension des formules numériques de la théorie des surfaces réciproques". Math.Ann., 10 (1876), 446–546.
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© 1978 Springer-Verlag
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Piene, R. (1978). Some formulas for a surface in ℙ3 . In: Olson, L.D. (eds) Algebraic Geometry. Lecture Notes in Mathematics, vol 687. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062933
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DOI: https://doi.org/10.1007/BFb0062933
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