Vol. 2, No. 5, 2008
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Tate resolutions for Segre embeddings

David A. Cox & Evgeny Materov

Vol. 2 (2008), No. 5, 523-550
Abstract

We give an explicit description of the terms and differentials of the Tate resolution of sheaves arising from Segre embeddings of Pa × Pb. 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

Mathematical Subject Classification

Primary: 13D02

Secondary: 14M25
Authors
David A. Cox
Department of Mathematics and Computer Science
Amherst College
Amherst, MA 01002-5000
United States
Evgeny Materov
Department of Mathematics and Statistics
University of Massachusetts
Amherst, MA 01003-9305
United States