English

Complete families of smooth space curves and strong semistability

Algebraic Geometry 2019-11-11 v3

Abstract

We construct the first non-trivial examples of complete families of non-degenerate smooth space curves, and show that the base of such a family cannot be a rational curve. Both results rely on the study of the strong semistability of certain vector bundles.

Keywords

Cite

@article{arxiv.1311.5346,
  title  = {Complete families of smooth space curves and strong semistability},
  author = {Olivier Benoist},
  journal= {arXiv preprint arXiv:1311.5346},
  year   = {2019}
}

Comments

16 pages, final version