Factorial Fermat curves over the rational numbers

Peter Malcolmson, Frank Okoh, and Vasuvedan Srinivas. "Factorial Fermat curves over the rational numbers." Colloquium Mathematicae 142.2 (2016): 285-300. <http://eudml.org/doc/283418>.

@article{PeterMalcolmson2016,
abstract = {A polynomial f in the set \{Xⁿ+Yⁿ, Xⁿ +Yⁿ-Zⁿ, Xⁿ +Yⁿ+Zⁿ, Xⁿ +Yⁿ-1\} lends itself to an elementary proof of the following theorem: if the coordinate ring over ℚ of f is factorial, then n is one or two. We give a list of problems suggested by this result.},
author = {Peter Malcolmson, Frank Okoh, Vasuvedan Srinivas},
journal = {Colloquium Mathematicae},
keywords = {factorial domain; half-factorial domain; Fermat curves},
language = {eng},
number = {2},
pages = {285-300},
title = {Factorial Fermat curves over the rational numbers},
url = {http://eudml.org/doc/283418},
volume = {142},
year = {2016},
}

TY - JOUR
AU - Peter Malcolmson
AU - Frank Okoh
AU - Vasuvedan Srinivas
TI - Factorial Fermat curves over the rational numbers
JO - Colloquium Mathematicae
PY - 2016
VL - 142
IS - 2
SP - 285
EP - 300
AB - A polynomial f in the set {Xⁿ+Yⁿ, Xⁿ +Yⁿ-Zⁿ, Xⁿ +Yⁿ+Zⁿ, Xⁿ +Yⁿ-1} lends itself to an elementary proof of the following theorem: if the coordinate ring over ℚ of f is factorial, then n is one or two. We give a list of problems suggested by this result.
LA - eng
KW - factorial domain; half-factorial domain; Fermat curves
UR - http://eudml.org/doc/283418
ER -