Non-uniruledness and the cancellation problem (II)

• Autorzy: Robert Dryło
• Języki publikacji: EN

Abstrakty

EN

We study the following cancellation problem over an algebraically closed field 𝕂 of characteristic zero. Let X, Y be affine varieties such that $X × 𝕂^m ≅ Y × 𝕂^m$ 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.

Kategorie tematyczne

• 14R10: Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2007
• Tom: 92
• Numer: 1
• Strony: 41-48

Daty

wydano

2007

Twórcy

autor

Robert Dryło

• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Identyfikatory

DOI

10.4064/ap92-1-4