4 papers · 1 filter
Polynomial joint first-order differential projective invariants
Leonid Bedratyuk
We study polynomial absolute and relative joint first-order differential projective invariants for configurations of points in the plane. The main approach is based on passing…
Relative Invariants from Moving Frames on an Extended Manifold
Leonid Bedratyuk
A constructive modification of the moving frame method is developed in this paper for the construction of relative invariants of regular Lie group actions. Let a relative invariant…
Joint Projective Invariants on First Jet Spaces of Point Configurations via Moving Frames
Leonid Bedratyuk
We consider the action of the projective group on the -fold first-order jet space of point configurations on the plane. Using the method of moving frames, we…
First order joint differential projective invariants
Leonid Bedratyuk
We present a complete algebraic description of the field of first-order joint projective invariants for configurations of \( n \) points in the plane, under the natural diagonal ac…