Affine-ruled varieties without the Laurent cancellation property

作者:Dubouloz Adrien*; Poloni Pierre Marie
来源:Bulletin of the London Mathematical Society, 2016, 48(5): 822-834.
DOI:10.1112/blms/bdw045

摘要

We describe a method to construct hypersurfaces of the complex affine n-space with isomorphic C*-cylinders. Among these hypersurfaces, we find new explicit counterexamples to the Laurent cancellation problem, that is, hypersurfaces that are nonisomorphic, although their C*-cylinders are isomorphic as abstract algebraic varieties. We also provide examples of nonisomorphic varieties X and Y with isomorphic Cartesian squares X x X and Y x Y.

  • 出版日期2016-10

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