Triangularization properties of power linear maps and the Structural Conjecture

Michiel de Bondt, and Dan Yan. "Triangularization properties of power linear maps and the Structural Conjecture." Annales Polonici Mathematici 112.3 (2014): 247-266. <http://eudml.org/doc/281059>.

@article{MichieldeBondt2014,
abstract = {We discuss several additional properties a power linear Keller map may have. The Structural Conjecture of Drużkowski (1983) asserts that certain two such properties are equivalent, but we show that one of them is stronger than the other. We even show that the property of linear triangularizability is strictly in between. Furthermore, we give some positive results for small dimensions and small Jacobian ranks.},
author = {Michiel de Bondt, Dan Yan},
journal = {Annales Polonici Mathematici},
keywords = {Jacobian conjecture; homogeneous power linear maps},
language = {eng},
number = {3},
pages = {247-266},
title = {Triangularization properties of power linear maps and the Structural Conjecture},
url = {http://eudml.org/doc/281059},
volume = {112},
year = {2014},
}

TY - JOUR
AU - Michiel de Bondt
AU - Dan Yan
TI - Triangularization properties of power linear maps and the Structural Conjecture
JO - Annales Polonici Mathematici
PY - 2014
VL - 112
IS - 3
SP - 247
EP - 266
AB - We discuss several additional properties a power linear Keller map may have. The Structural Conjecture of Drużkowski (1983) asserts that certain two such properties are equivalent, but we show that one of them is stronger than the other. We even show that the property of linear triangularizability is strictly in between. Furthermore, we give some positive results for small dimensions and small Jacobian ranks.
LA - eng
KW - Jacobian conjecture; homogeneous power linear maps
UR - http://eudml.org/doc/281059
ER -