English

Tate Resolutions for Segre Embeddings

Algebraic Geometry 2008-06-09 v3 Commutative Algebra

Abstract

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

Cite

@article{arxiv.0711.0550,
  title  = {Tate Resolutions for Segre Embeddings},
  author = {David Cox and Evgeny Materov},
  journal= {arXiv preprint arXiv:0711.0550},
  year   = {2008}
}

Comments

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

R2 v1 2026-06-21T09:39:41.807Z