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Resolutions of Segre embeddings of projective spaces of any dimension

Elena Rubei
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Abstract

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.

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Elena Rubei. 2004-04-22. Resolutions of Segre embeddings of projective spaces of any dimension. https://arxiv.org/abs/math/0404417

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