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arxiv: math/0404417 · v1 · submitted 2004-04-22 · 🧮 math.AG

Resolutions of Segre embeddings of projective spaces of any dimension

classification 🧮 math.AG
keywords embeddingssegredealsdimensionnaturalnonzeronumbersonly
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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.

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