Linear orbits of smooth plane curves

Paolo Aluffi, Carel Faber

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

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.
Original languageEnglish
JournalJournal of Algebraic Geometry
Publication statusPublished - 1 Jan 1993
Externally publishedYes

Keywords

  • Mathematics - Algebraic Geometry

Fingerprint

Dive into the research topics of 'Linear orbits of smooth plane curves'. Together they form a unique fingerprint.

Cite this