A Remark on a Paper of Crachiola and Makar-Limanov

Robert Dryło. "A Remark on a Paper of Crachiola and Makar-Limanov." Bulletin of the Polish Academy of Sciences. Mathematics 59.3 (2011): 203-206. <http://eudml.org/doc/281198>.

@article{RobertDryło2011,
abstract = {A. Crachiola and L. Makar-Limanov [J. Algebra 284 (2005)] showed the following: if X is an affine curve which is not isomorphic to the affine line $¹_k$, then ML(X×Y) = k[X]⊗ ML(Y) for every affine variety Y, where k is an algebraically closed field. In this note we give a simple geometric proof of a more general fact that this property holds for every affine variety X whose set of regular points is not k-uniruled.},
author = {Robert Dryło},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {Makar-Limanov invariant; additive group actions; cancellation problem},
language = {eng},
number = {3},
pages = {203-206},
title = {A Remark on a Paper of Crachiola and Makar-Limanov},
url = {http://eudml.org/doc/281198},
volume = {59},
year = {2011},
}

TY - JOUR
AU - Robert Dryło
TI - A Remark on a Paper of Crachiola and Makar-Limanov
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2011
VL - 59
IS - 3
SP - 203
EP - 206
AB - A. Crachiola and L. Makar-Limanov [J. Algebra 284 (2005)] showed the following: if X is an affine curve which is not isomorphic to the affine line $¹_k$, then ML(X×Y) = k[X]⊗ ML(Y) for every affine variety Y, where k is an algebraically closed field. In this note we give a simple geometric proof of a more general fact that this property holds for every affine variety X whose set of regular points is not k-uniruled.
LA - eng
KW - Makar-Limanov invariant; additive group actions; cancellation problem
UR - http://eudml.org/doc/281198
ER -