Geodesic
Non-uniruledness and the cancellation problem (II)
Robert Dry/lo1
1 Institute of Mathematics Jagiellonian University Reymonta 4 30-059 Krak/ow, Poland
Annales Polonici Mathematici, Tome 92 (2007) no. 1, pp. 41-48

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We study the following cancellation problem over an algebraically closed field $\mathbb K$ of characteristic zero. Let $X$, $Y$ be affine varieties such that $X\times\mathbb K^m\cong Y\times\mathbb K^m$ for some $m$. Assume that $X$ is non-uniruled at infinity. Does it follow that $X\cong Y$? 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.
DOI : 10.4064/ap92-1-4
Keywords: study following cancellation problem algebraically closed field mathbb characteristic zero affine varieties times mathbb cong times mathbb assume non uniruled infinity does follow cong prove result implying affirmative answer either unirational algebraic line bundle however general answer negative counterexample affine surfaces

Robert Dry/lo 1

1 Institute of Mathematics Jagiellonian University Reymonta 4 30-059 Krak/ow, Poland 
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Robert Dry/lo. Non-uniruledness and the cancellation 
problem (II). Annales Polonici Mathematici, Tome 92 (2007) no. 1, pp. 41-48. doi: 10.4064/ap92-1-4

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