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Fiber-wise birational correspondences

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Abstract

We prove that each fiber-wise birational correspondence between smooth fibrations into (Fano) hypersurfaces, which is biregular on a generic fiber, is a fiber-wise isomorphism.

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Authors and Affiliations

  1. V. A. Steklov Mathematics Institute, Russian Academy of Sciences, Russian

    A. V. Pukhlikov

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  1. A. V. Pukhlikov
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Translated fromMatematicheskie Zametki, Vol. 68, No. 1, pp. 120–130, July, 2000.

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Pukhlikov, A.V. Fiber-wise birational correspondences. Math Notes 68, 103–112 (2000). https://doi.org/10.1007/BF02674652

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  • DOI: https://doi.org/10.1007/BF02674652

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