English

p-Buchsbaum rank 2 bundles on the projective space

Algebraic Geometry 2014-07-09 v3

Abstract

It has been proved by various authors that a normalized, 1-Buchsbaum rank 2 vector bundle on P3 is a nullcorrelation bundle, while a normalized, 2-Buchsbaum rank 2 vector bundle on P3 is an instanton bundle of charge 2. We find that the same is not true for 3-Buchsbaum rank 2 vector bundles on P3, and propose a conjecture regarding the classification of such objects.

Keywords

Cite

@article{arxiv.1309.0447,
  title  = {p-Buchsbaum rank 2 bundles on the projective space},
  author = {Marcos Jardim and Simone Marchesi},
  journal= {arXiv preprint arXiv:1309.0447},
  year   = {2014}
}

Comments

Corrected previous results

R2 v1 2026-06-22T01:19:11.786Z