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math.AG2026
Plane Cremona maps preserving a Euclidean volume form
Marc Abboud, Jérémy Blanc, Stéphane Lamy
We give a presentation by generators and relations of the group of birational transformations of the plane preserving a differential form with poles along a triple line. This group…
math.AG2026
Dynamical degrees of twisted rational maps
Marc Abboud, Junyi Xie
Twisted rational maps arise naturally in relative algebraic dynamics: if a rational self-map preserves a fibration, then the induced map on the generic fiber is usually not an ordi…
math.DS2026
Uniform bound on common periodic points for families of regular plane polynomial automorphisms
Marc Abboud, Yugang Zhang
Given two one-dimensional families and of regular plane polynomial automorphisms parameterised by an algebraic curve , all defined over some number field , such that…