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Gaussian maps, the Zak map and projective extensions of singular varieties

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Abstract

Here we show that the surjectivity of a natural map such as a Gaussian map for curves or the Zak map in all dimensions forces a projective variety to have only trivial extensions also in the singular case.

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Authors and Affiliations

  1. Dipartimento di Matematica, Universitá di Trento, 38050, POVO (Trento), Italy

    Edoardo Ballico & Claudio Fontanari

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  1. Edoardo Ballico
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  2. Claudio Fontanari
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Correspondence to Edoardo Ballico.

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Ballico, E., Fontanari, C. Gaussian maps, the Zak map and projective extensions of singular varieties. Results. Math. 44, 29–34 (2003). https://doi.org/10.1007/BF03322909

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  • DOI: https://doi.org/10.1007/BF03322909

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