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Original Articles

The Splitting Criterion of Kempf and the Babylonian Tower Theorem

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Pages 2485-2488 | Received 20 Feb 2005, Published online: 01 Feb 2007

REFERENCES

  • Barth , W. , Van de Ven , A. ( 1974 ). A decomposability criterion for algebraic 2-bundles on projective spaces . Invent. Math. 25 : 91 – 106 . [CSA]
  • Flenner , H. ( 1985 ). Babylonian tower theorems on the punctured spectrum . Math. Ann. 271 : 153 – 160 . [CSA] [CROSSREF]
  • Kempf , G. R. ( 1990 ). A criterion for the splitting of a vector bundle . Forum Math. 2 : 477 – 480 . [CSA]
  • Sato , E. ( 1977 ). On the decomposability of infinitely extendable vector bundles on projective spaces and Grassmann varieties . J. Math. Kyoto Univ. 17 : 127 – 150 . [CSA]
  • Sato , E. ( 1978 ). The decomposability of an infinitely extendable vector bundle on the projective space, II . In: International Symposium on Algebraic Geometry . Kyoto University, Kyoto, Kinokuniya Book Store , Tokyo , pp. 663 – 672 .
  • Tyurin , A. N. ( 1976 ). Finite dimensional vector bundles over infinite varieties . Math. USSR Izv. 10 : 1187 – 1204 . [CSA] [CROSSREF]
  • Communicated by L. Ein.

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