Plane curves with small linear orbits I
2000 (English)In: Annales de l'Institut Fourier, ISSN 0373-0956, Vol. 50, no 1, 151-+ p.Article in journal (Refereed) Published
The linear orbit of a plane curve of degree d is its orbit in Pd(d+3)/2 under the natural action of PGL(3). 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.
Place, publisher, year, edition, pages
2000. Vol. 50, no 1, 151-+ p.
IdentifiersURN: urn:nbn:se:kth:diva-19915ISI: 000088295200006OAI: oai:DiVA.org:kth-19915DiVA: diva2:338607
QC 201005252010-08-102010-08-10Bibliographically approved