A note on the plane Jacobian conjecture
Annales Polonici Mathematici (2012)
- Volume: 105, Issue: 1, page 13-19
- ISSN: 0066-2216
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topNguyen Van Chau. "A note on the plane Jacobian conjecture." Annales Polonici Mathematici 105.1 (2012): 13-19. <http://eudml.org/doc/280882>.
@article{NguyenVanChau2012,
abstract = {It is shown that every polynomial function P:ℂ² → ℂ with irreducible fibres of the same genus must be a coordinate. Consequently, there do not exist counterexamples F = (P,Q) to the Jacobian conjecture such that all fibres of P are irreducible curves with the same genus.},
author = {Nguyen Van Chau},
journal = {Annales Polonici Mathematici},
keywords = {jacobian conjecture; genus; coordinate},
language = {eng},
number = {1},
pages = {13-19},
title = {A note on the plane Jacobian conjecture},
url = {http://eudml.org/doc/280882},
volume = {105},
year = {2012},
}
TY - JOUR
AU - Nguyen Van Chau
TI - A note on the plane Jacobian conjecture
JO - Annales Polonici Mathematici
PY - 2012
VL - 105
IS - 1
SP - 13
EP - 19
AB - It is shown that every polynomial function P:ℂ² → ℂ with irreducible fibres of the same genus must be a coordinate. Consequently, there do not exist counterexamples F = (P,Q) to the Jacobian conjecture such that all fibres of P are irreducible curves with the same genus.
LA - eng
KW - jacobian conjecture; genus; coordinate
UR - http://eudml.org/doc/280882
ER -
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