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A theorem on zero schemes of sections in two-bundles over affine schemes with applications to set theoretic intersections

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References

  1. Boratyński, M.: Every curve on a nonsingular surface can be defined by two equations. Proc. AMS 96 (1986) 391–393.

    Article  MathSciNet  MATH  Google Scholar 

  2. Eisenbud, D. and E.-G. Evans jr.: Every algebraic set in n-space is the intersection of n hypersurfaces. Invent. math. 19 (1973) 107–112.

    Article  MathSciNet  MATH  Google Scholar 

  3. Forster, O.: Über die Anzahl der Erzeugenden eines Ideals in einem Noetherschen Ring. Math. Zeitschr. 84 (1964) 80–87.

    Article  MathSciNet  MATH  Google Scholar 

  4. Forster, O. und K.J. Ramspott: Analytische Modulgarben und Endromisbündel. Invent. Math. 2 (1966) 145–170.

    Article  MathSciNet  MATH  Google Scholar 

  5. Hamm, H.A.: Zum Homotopietyp Steinscher Räume. Journ. f. d. r. u. a. Math. 338 (1983) 121–135.

    MathSciNet  MATH  Google Scholar 

  6. Hamm, H.A.: Zum Homotopietyp q-vollständiger Räume. Journ. f. d. r. u. a. Math. 364 (1986) 1–9.

    MathSciNet  MATH  Google Scholar 

  7. Lyubeznik, G.: Some theorems on set theoretic intersections. Preprint 1985.

    Google Scholar 

  8. Mandal, S.: On set theoretic intersection in affine spaces. Preprint 1985.

    Google Scholar 

  9. Mohan Kumar, N. and M.P. Murthy: Algebraic cycles and vector bundles over affine three-folds. Ann. Math. 116 (1982).

    Google Scholar 

  10. Murthy, M.P. and R.G. Swan: Vector bundles over affine surfaces. Inv. math. 36 (1976) 125–165.

    Article  MathSciNet  MATH  Google Scholar 

  11. Rojtman, A.A.: The torsion of the group of O-cycles modulo rational equivalence. Ann. Math. 111 (1980) 553–569.

    Article  MathSciNet  MATH  Google Scholar 

  12. Serre, J.-P.: Modules projectifs et espaces fibrés à fibre vectorielle. Sém. Dubreil-Pisot 1957/58, exp. 23 (1958).

    Google Scholar 

  13. Storch, U.: Bemerkung zu einem Satz von M. Kneser. Arch. Math. 23 (1972) 403–404.

    Article  MathSciNet  MATH  Google Scholar 

  14. Swan, R.G.: The number of generators of a module. Math. Zeitschr. 102 (1967) 318–322.

    Article  MathSciNet  MATH  Google Scholar 

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Gert-Martin Greuel Günther Trautmann

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© 1987 Springer-Verlag

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Forster, O., Wolffhardt, K. (1987). A theorem on zero schemes of sections in two-bundles over affine schemes with applications to set theoretic intersections. In: Greuel, GM., Trautmann, G. (eds) Singularities, Representation of Algebras, and Vector Bundles. Lecture Notes in Mathematics, vol 1273. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078855

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  • DOI: https://doi.org/10.1007/BFb0078855

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18263-4

  • Online ISBN: 978-3-540-47851-5

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