Algebraic webs invariant under endomorphisms

2009/07/22 by Marius Dabija, Mattias Jonsson, Dabija, Marius +1
Mathematics · #14C21 #32H50 #Algebraic Geometry (math.AG) #Dynamical Systems (math.DS) #FOS: Mathematics #math.AG #math.DS #msc:14C21 #msc:32H50

paper · pdf · doi:10.48550/arxiv.0907.3895

9 pages, 1 figure. To appear in Publ. Mat

arxiv created 2009/07/22 · arxiv updated 2009/12/01

Abstract

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.

Related

• Webs invariant by rational maps on surfaces
• Global stucture of webs in codimension one
• Rigidity and height bounds for certain post-critically finite endomorphisms of projective space
• Sur l'algébrisation des tissus de rang maximal
• Webs and squabs of conics over finite fields