Rationally generated arcs
Algebraic Geometry
2007-05-23 v1
Abstract
One distinguishing feature of rational curves is that they have algebraic parameterizations. Arc spaces are a way of describing approximations to parameterizations of all curves in some fixed space. Playing on these descriptions, this paper introduces rationally generated arcs, and applies them towards the description and enumeration of rational curves in algebraic varieties.
Cite
@article{arxiv.math/0610134,
title = {Rationally generated arcs},
author = {Zachary Treisman},
journal= {arXiv preprint arXiv:math/0610134},
year = {2007}
}
Comments
14 pages. This paper is a distillation of the author's PhD thesis