English

Interpolation of rational scrolls

Algebraic Geometry 2021-11-05 v1

Abstract

We show in many cases that there exist rational scrolls which are balanced, i.e. they contain the expected number of general linear spaces as rulings. For example, there exist balanced scrolls of degree mk+1mk+1 and fibre dimension kk in 2k+1\P^{2k+1} for all m1m\geq 1.

Keywords

Cite

@article{arxiv.2111.02466,
  title  = {Interpolation of rational scrolls},
  author = {Ziv Ran},
  journal= {arXiv preprint arXiv:2111.02466},
  year   = {2021}
}
R2 v1 2026-06-24T07:25:05.231Z