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 a × 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
Mathematical Subject Classification 2000
Primary: 13D02
Secondary: 14M25
Milestones
Received: 14 January 2008
Accepted: 28 May 2008
Published: 4 July 2008
Authors
David A. Cox
Department of Mathematics and Computer Science
Amherst College
Amherst, MA 01002-5000
United States
http://www.amherst.edu/~dacox
Evgeny Materov
Department of Mathematics and Statistics
University of Massachusetts
Amherst, MA 01003-9305
United States