Tate Resolutions for Segre Embeddings

Details Tate Resolutions for Segre Embeddings Tate Resolutions for Segre Embeddings

2007-11-04

arxiv.org/abs/0711.0550v3

Mathematics

Algebraic Geometry

21 pages, to appear in "Algebra and Number Theory"

Scientific paper

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

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