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Postulation of General Unions of Lines and Double Points in a Higher Dimensional Projective Space

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Abstract

We prove that a general union \(X\subset \mathbb {P}^{r}\), r ≥ 6, of lines and double points has the expected postulation with respect to the hypersurfaces of degree ≥ 4.

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Authors and Affiliations

  1. Department of Mathematics, University of Trento, 38123, Trento, Italy

    Edoardo Ballico

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  1. Edoardo Ballico
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Correspondence to Edoardo Ballico.

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The author was partially supported by MIUR and GNSAGA of INdAM (Italy).

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Ballico, E. Postulation of General Unions of Lines and Double Points in a Higher Dimensional Projective Space. Acta Math Vietnam 41, 495–504 (2016). https://doi.org/10.1007/s40306-015-0147-7

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  • DOI: https://doi.org/10.1007/s40306-015-0147-7

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