English

Uniform Steiner bundles

Algebraic Geometry 2020-05-19 v1

Abstract

In this work we study kk-type uniform Steiner bundles, being kk the lowest degree of the splitting. We prove sharp upper and lower bounds for the rank in the case k=1k=1 and moreover we give families of examples for every allowed possible rank and explain which relation exists between the families. After dealing with the case kk in general, we conjecture that every kk-type uniform Steiner bundle is obtained through the proposed construction technique.

Keywords

Cite

@article{arxiv.2005.08253,
  title  = {Uniform Steiner bundles},
  author = {Simone Marchesi and Rosa Maria Miró-Roig},
  journal= {arXiv preprint arXiv:2005.08253},
  year   = {2020}
}

Comments

23 pages, to appear at Annales de l'Institut Fourier

R2 v1 2026-06-23T15:36:19.198Z