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On the cancellation problem

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Abstract

Let k be an algebraically closed field. For every n ≥ 8 we give examples of Zariski open, dense, affine subsets of the affine space A n(k) which do not have the cancellation property.

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  1. Instytut Matematyczny, Polska Akademia Nauk, Śniadeckich 8, 00-956, Warszawa, Poland

    Zbigniew Jelonek

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  1. Zbigniew Jelonek
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Correspondence to Zbigniew Jelonek.

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Dedicated to Professor Mikhail Zaidenberg.

The author was partially supported by the grant of Polish Ministry of Science, 2006–2009.

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Jelonek, Z. On the cancellation problem. Math. Ann. 344, 769–778 (2009). https://doi.org/10.1007/s00208-008-0326-0

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