On syzygies of Segre embeddings
نویسنده
چکیده
We study the syzygies of the ideals of the Segre embeddings. Let d ∈ N, d ≥ 3; we prove that the line bundle O(1, ..., 1) on the P 1 × ....× P 1 (d copies) satisfies Property Np of GreenLazarsfeld if and only if p ≤ 3. Besides we prove that if we have a projective variety not satisfying Property Np for some p, then the product of it with any other projective variety does not satisfy Property Np. From this we deduce also other corollaries about syzygies of Segre embeddings.
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تاریخ انتشار 1972