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General position of points on a rational ruled surface

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Abstract

In this note we introduce a definition of general position for distinct points on a rational ruled surface and we discuss some related properties having in mind very ampleness criteria for rank 2 vector bundles.

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Acknowledgements

We wish to thank A. Lanteri for fruitful conversations about our application of Theorem 11.1.2 of Beltrametti and Sommese (1995).

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Correspondence to Alberto Alzati.

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This work is within the framework of the national research project “Geometry on Algebraic Varieties” Cofin 2010 of MIUR.

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Alzati, A., Tortora, A. General position of points on a rational ruled surface. Beitr Algebra Geom 59, 267–287 (2018). https://doi.org/10.1007/s13366-017-0362-6

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  • DOI: https://doi.org/10.1007/s13366-017-0362-6

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