A characterization of local nilpotence for dimension two polynomial derivations

Pan, Iván

Resumen:

Let k be an algebraically closed field. We prove that a polynomial k-derivation D in two variables is locally nilpotent if and only if the subgroup of polynomial k-automorphisms which commute with D admits elements whose degree is arbitrary big.


Detalles Bibliográficos
2020
Commutative Algebra
Polynomials
Locally nilpotent derivations
Inglés
Universidad de la República
COLIBRI
https://hdl.handle.net/20.500.12008/38864
Acceso abierto
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)