Plane curves with small linear orbits, I
Abstract
In this paper we compute the degree of the closure of the linear orbits of most curves with positive dimensional stabilizers. Our tool is a nonsingular variety dominating the orbit closure, which we construct by a blow-up sequence mirroring the sequence yielding an embedded resolution of the curve. The results given here will serve as an ingredient in the computation of the analogous information for arbitrary plane curves. Linear orbits of smooth plane curves were studied by the authors in J. of Alg. Geom., 2 (1993), 155-184.
DOI
10.5802/aif.1750Citation
Aluffi, P., & Faber, C. (2000). Plane curves with small linear orbits, I. Annales de l'Institut Fourier, 50(1), 151-196. https://doi.org/10.5802/aif.1750