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Original Articles

A Simple Proof of Tyurin's Babylonian Tower Theorem

Pages 4668-4672 | Received 17 Nov 2010, Published online: 10 Oct 2012

REFERENCES

  • Barth , W. ( 1975 ). Submanifolds of low codimension in projective space . Proc. Int. Congr. Math. Vancouver, 1974. 1 : 409 – 413 .
  • Barth , W. , Van de Ven , A. ( 1974 ). A decomposability criterion for algebraic 2-bundles on projective spaces . Invent. Math. 25 : 91 – 106 .
  • Coandă , I. ( 2010 ). Infinitely stably extendable vector bundles on projective spaces . Arch. Math. 94 : 539 – 545 .
  • Coandă , I. , Trautmann , G. ( 2006 ). The splitting criterion of Kempf and the Babylonian tower theorem . Comm. Algebra 34 : 2485 – 2488 .
  • Flenner , H. ( 1985 ). Babylonian tower theorems on the punctured spectrum . Math. Ann. 271 : 153 – 160 .
  • Matsumura , H. ( 1986 ). Commutative Ring Theory . Cambridge Studies in Advanced Mathematics . Vol. 8 . Cambridge : Cambridge University Press .
  • Sato , E. ( 1977 ). On the decomposability of infinitely extendable vector bundles on projective spaces and Grassmann varieties . J. Math. Kyoto Univ. 17 : 127 – 150 .
  • Sato , E. ( 1978 ). The decomposability of an infinitely extendable vector bundle on the projective space, II . In: International Symposium on Algebraic Geometry . Kyoto University. Kinokuniya Book Store : Tokyo , pp. 663 – 672 .
  • Tyurin , A. N. ( 1976 ). Finite dimensional vector bundles over infinite varieties . Math. USSR Izv. 10 : 1187 – 1204 .
  • Communicated by L. Ein.

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