Linear orbits of smooth plane curves

Details Linear orbits of smooth plane curves Linear orbits of smooth plane curves

1992-06-02

arxiv.org/abs/alg-geom/9206001v1

J. Algebraic Geom. 2 (1993), no. 1, 155-184

Mathematics

Algebraic Geometry

25 pages. Tex dialect: amstex (pre-2.0)

Scientific paper

The group PGL(3) of linear transformations of the projective plane acts naturally on the projective space parametrizing curves of a given degree. In this note we begin the study of the orbits of smooth curves under this action: we construct a resolution of the closure of the orbit of a given curve, and we use it to compute its degree. This turns out to depend only on the degree of the curve, the order of its automorphism group, and on the number and type of its flexes. This paper will appear on the Journal of Algebraic Geometry.

Affiliated with

Also associated with

No associations

Rating

Linear orbits of smooth plane curves does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Linear orbits of smooth plane curves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Linear orbits of smooth plane curves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-33026