Non-uniruledness and the cancellation problem (II)

Robert Dryło. "Non-uniruledness and the cancellation problem (II)." Annales Polonici Mathematici 92.1 (2007): 41-48. <http://eudml.org/doc/280158>.

@article{RobertDryło2007,
abstract = {We study the following cancellation problem over an algebraically closed field of characteristic zero. Let X, Y be affine varieties such that $X × ^m ≅ Y × ^m$ for some m. Assume that X is non-uniruled at infinity. Does it follow that X ≅ Y? We prove a result implying the affirmative answer in case X is either unirational or an algebraic line bundle. However, the general answer is negative and we give as a counterexample some affine surfaces.},
author = {Robert Dryło},
journal = {Annales Polonici Mathematici},
keywords = {uniruled variety; cancellation problem; algebraic line bundle},
language = {eng},
number = {1},
pages = {41-48},
title = {Non-uniruledness and the cancellation problem (II)},
url = {http://eudml.org/doc/280158},
volume = {92},
year = {2007},
}

TY - JOUR
AU - Robert Dryło
TI - Non-uniruledness and the cancellation problem (II)
JO - Annales Polonici Mathematici
PY - 2007
VL - 92
IS - 1
SP - 41
EP - 48
AB - We study the following cancellation problem over an algebraically closed field of characteristic zero. Let X, Y be affine varieties such that $X × ^m ≅ Y × ^m$ for some m. Assume that X is non-uniruled at infinity. Does it follow that X ≅ Y? We prove a result implying the affirmative answer in case X is either unirational or an algebraic line bundle. However, the general answer is negative and we give as a counterexample some affine surfaces.
LA - eng
KW - uniruled variety; cancellation problem; algebraic line bundle
UR - http://eudml.org/doc/280158
ER -