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On the failure cycles
for the quadratic normality of a projective variety
Edoardo Ballico |
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Vol. 172 (1996), No. 2, 307–313
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Abstract |
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Let X be a smooth projective surface and L a very ample line bundle on X which is not quadratically normal; set r + 1 = h0(X,L). Here we give numerical conditions on X and L which imply the existence of a finite subscheme T of X with length(T) ≥ 2s + 2 and contained in a dimension s ≤ r − 2 linear subspace of P(H0(X,L)) and such that L∣T is not quadratically normal. |
Mathematical Subject Classification 2000
Primary: 14J99
Secondary: 14C25
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Milestones
Received: 14 July 1993
Revised: 18 November 1994
Published: 1 February 1996
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Authors |
| Edoardo Ballico | |
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