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Effective estimates for unirationality

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Abstract

In this work we refine some estimates that where set up by Morin and Predonzan in [1] and [2]. While the language has been updated, most of the ideas go back to these authors and we have essentially added some observations in the main stream of the proofs.

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References

  1. U. Morin,Sull'unirazionalità dell'ipersuperficie algebrica di qualunque ordine e dimensione sufficientemente alta. Atti Congr. Un. Mat. Ital., Bologna (1940), pp. 298–302

  2. A. Predonzan,Sull'unirazionalità della varietà intersezione completa di più forme. Rend Sem. Mat. Padova, 18 (1949), pp. 161–176.

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  4. J.P. Murre,Discussion of a theorem of Morin. Proceeding of a seminar on “Argomenti di Geometria Algebrica”, Povo (Trento) (1979) cyclostyle notes

  5. A. Predonzan,Intorno agli S k giacenti sulla varietà intersezione completa di più forme. Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur., 5 (1948), pp. 238–242

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  6. L. Ramero,Problemi di Razionalità. Università di Pisa, Thesis, Pisa (1989)

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Authors and Affiliations

  1. Scuola Normale Superiore, 56100, Pisa, Italy

    Lorenzo Ramero

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  1. Lorenzo Ramero
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Ramero, L. Effective estimates for unirationality. Manuscripta Math 68, 435–445 (1990). https://doi.org/10.1007/BF02568776

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  • DOI: https://doi.org/10.1007/BF02568776

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