Resolutions of Segre embeddings of projective spaces of any dimension

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This paper deals with syzygies of Segre embeddings. Let d >=3 and n_1, ..., n_d nonzero natural numbers. We prove that O(1,...., 1) on the product of P^{n_1}, ...,P^{n_d} satisfies Property N_p if and only if p <= 3.
9 pages, textwidth 15cm textheight 22,3 cm, 1 figure

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