15 citations · 32 across the 12 of their papers we have counts for
12 papers
On the orbits of plane automorphisms and their stabilizers
Iván Pan, Alvaro Rittatore
Let be a perfect field with algebraic closure . If is a subgroup of plane automorphisms over and is a point, we descr…
A characterization of local nilpotence for dimension two polynomial derivations
Ivan Pan
Let K be an algebraically closed field. We prove that a polynomial K-derivation in two variables is locally nilpotent if and only if the subgroup of polynomial K-automorphisms…
On the Automorphism Group of a Polynomial Differential Ring in Two Variables
I. Pan, R. Baltazar
We consider differential rings of the form (K[x; y];D), where K is an algebraically closed field of characteristic zero and D : K[x; y] \to K[x; y] is a K-derivation. We study the…
Birational geometry of foliations associated to simple derivations
Gael Cousin, Luis Gustavo Mendes, Ivan Pan
We propose a study of the foliations of the projective plane induced by simple derivations of the polynomial ring in two indeterminates over the complex field. These correspond to…
On plane polynomial automorphisms commuting with simple derivations
Luís Gustavo Mendes, Ivan Pan
We consider the subgroup Aut(D) consisting of automorphisms of K[x,y] commuting with a derivation D, where K is an algebraically closed field of characteristic 0. We prove that if…
Cremona maps of de Jonquières type
Ivan Pan, Aron Simis
This paper is concerned with suitable generalizations of a plane de Jonquières map to higher dimensional space with . For each given point of …