English

A recollement of vector bundles

Representation Theory 2014-02-26 v1 Commutative Algebra Rings and Algebras

Abstract

For a weighted projective line, the stable category of its vector bundles modulo lines bundles has a natural triangulated structure. We prove that, for any positive integers p,q,rp, q, r and rr' with rrr'\leq r, there is an explicit recollement of the stable category of vector bundles on a weighted projective line of weight type (p,q,r)(p, q, r) relative to the ones on weighted projective lines of weight types (p,q,r)(p, q, r') and (p,q,rr+1)(p, q, r-r'+1).

Keywords

Cite

@article{arxiv.1011.4782,
  title  = {A recollement of vector bundles},
  author = {Xiao-Wu Chen},
  journal= {arXiv preprint arXiv:1011.4782},
  year   = {2014}
}
R2 v1 2026-06-21T16:47:09.275Z