Tate resolutions for Segre embeddings

David H. Cox, Evgeny Materov · Algebra & Number Theory · 2008

We give an explicit description of the terms and differentials of the Tate resolution of sheaves arising from Segre embeddings of ‫ސ‬ a × ‫ސ‬ b .We prove that the maps in this Tate resolution are either coming from Sylvester-type maps, or from Bezout-type maps arising from the so-called toric Jacobian.

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