JP Journal of Algebra, Number Theory and Applications
Volume 1, Issue 3, Pages 213 - 215
(December 2001)
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THE
CANCELLATION PROBLEM FOR PROJECTIVE EMBEDDINGS
E. Ballico (Italy)
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Abstract: In this note, we prove the following result. Let X
Ì Pn
Y Ì Pm
and Z Ì Pm
be projective varieties and h : Pn
´ Pm ® PN, N = nm + n
+ m be the Segre embedding. Assume that
the embedding of Y
in Pm is linearly
normal and that h(X ´ Y)
and h(X ´ Z)
are projectively equivalent. Then Y
and Z are projectively equivalent. |
Keywords and phrases: Segre embedding, Segre
product, projective spaces. |
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