Non-uniruledness and the cancellation problem (II)
Robert Dryło
Annales Polonici Mathematici, Tome 92 (2007), p. 41-48 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:280158 
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Robert Dryło. Non-uniruledness and the cancellation problem (II). Annales Polonici Mathematici, Tome 92 (2007) pp. 41-48. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap92-1-4/