Incident rational curves
Algebraic Geometry
2020-06-26 v1
Abstract
We study families of rational curves on an algebraic variety satisfying incidence conditions. We prove an analogue of bend-and-break: that is, we show that under suitable conditions, such a family must contain reducibles. In the case of curves in incident to certain complete intersections, we prove the family is irreducible.
Cite
@article{arxiv.2006.14589,
title = {Incident rational curves},
author = {Ziv Ran},
journal= {arXiv preprint arXiv:2006.14589},
year = {2020}
}