3 papers
math.DS2009
Algebraic webs invariant under endomorphisms
Marius Dabija, Mattias Jonsson
We classify noninvertible, holomorphic selfmaps of the projective plane that preserve an algebraic web. In doing so, we obtain interesting examples of critically finite maps.
math.DS2007
Endomorphisms of the plane preserving a pencil of curves
Marius Dabija, Mattias Jonsson
We classify endomorphisms of the plane that preserve a pencil of curves.
math.DS2006
Elliptic Curves as Attractors in Part 1: Dynamics
Araceli Bonifant, Marius Dabija, John Milnor
A study of rational maps of the real or complex projective plane of degree two or more, concentrating on those which map an elliptic curve onto itself, necessarily by an expanding…