On varieties as hyperplane sections

Ballico, E.

doi:10.1090/S0002-9939-1994-1172946-8

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ISSN 1088-6826(online) ISSN 0002-9939(print)

On varieties as hyperplane sections

Author: E. Ballico
Journal: Proc. Amer. Math. Soc. 120 (1994), 405-411
MSC: Primary 14N05; Secondary 14M10
MathSciNet review: 1172946
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Abstract: Here we extend to the the singular (but locally complete intersection) case a theorem of L'vovsky giving a condition (" ${h^0}({N_X}( - 1)) \leqslant n + 1$ ") forcing a variety $X \subset {{\mathbf{P}}^n}$ not to be a hyperplane section (except of cones). Then we give a partial extension of this criterion to the case of subvarieties of a Grassmannian.

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