Grassmann defective surfaces
Bollettino della Unione matematica italiana, Série 8, 7B (2004) no. 2, pp. 369-379

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Zbl MR
A projective variety $V$ is $(1, h)$-defective if the Grassmannian of lines contained in the span of $h+1$ independent points on $V$ has dimension less than the expected one. In the present paper, which is inspired by classical work of Alessandro Terracini, we prove a criterion of $(1, h)$-defectivity for algebraic surfaces and we discuss its applications to Veronese embeddings and to rational normal scrolls.
Fontanari, Claudio. Grassmann defective surfaces. Bollettino della Unione matematica italiana, Série 8, 7B (2004) no. 2, pp. 369-379. http://geodesic.mathdoc.fr/item/BUMI_2004_8_7B_2_a6/
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     author = {Fontanari, Claudio},
     title = {Grassmann defective surfaces},
     journal = {Bollettino della Unione matematica italiana},
     pages = {369--379},
     year = {2004},
     volume = {Ser. 8, 7B},
     number = {2},
     zbl = {1150.14014},
     mrnumber = {MR2072942},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2004_8_7B_2_a6/}
}
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