中文

Rationally generated arcs

代数几何 2007-05-23 v1

摘要

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.

关键词

引用

@article{arxiv.math/0610134,
  title  = {Rationally generated arcs},
  author = {Zachary Treisman},
  journal= {arXiv preprint arXiv:math/0610134},
  year   = {2007}
}

备注

14 pages. This paper is a distillation of the author's PhD thesis