Vol. 2, No. 5, 2008

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Tate resolutions for Segre embeddings

David A. Cox and Evgeny Materov

Vol. 2 (2008), No. 5, 523–549
Abstract

We give an explicit description of the terms and differentials of the Tate resolution of sheaves arising from Segre embeddings of ${ℙ}^{a}×{ℙ}^{b}$. 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.

Keywords
Tate resolution, Segre embedding, toric Jacobian
Primary: 13D02
Secondary: 14M25