Rationally generated arcs

Details Rationally generated arcs Rationally generated arcs

2006-10-04

arxiv.org/abs/math/0610134v1

Mathematics

Algebraic Geometry

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

Scientific paper

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.

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