The affine cancellation problem, which asks whether complex affine varieties with isomorphic cylinders are themselves isomorphic, has a positive solution for two dimensional varieties whose coordinate rings are unique factorization domains, in particular for the affine plane, but counterexamples are found within normal surfaces Danielewski surfaces and factorial threefolds of logarithmic Kodaira dimension equal to 1. The latter are therefore remote from the affine three-space, the first unknown case where the base of one cylinder is an affine space. Locally trivial Ga-actions play a significant role in these examples. Threefolds admitting free Ga-actions are discussed, especially a class of varieties with negative logarithmic Kodaira dimens...
This thesis consists of two papers and a summary. The papers both deal with affine algebra...
This thesis consists of two papers and a summary. The papers both deal with affine algebra...
Abstract. A well-known cancellation problem of Zariski asks when, for two given domains (fields) K1 ...
The affine cancellation problem, which asks whether complex affine varieties with isomorphic cylinde...
A new class of counterexamples to a generalized cancellation problem for a ¢ ne varieties is present...
We construct two non isomorphic contractible affine threefolds X and Y with isomorphic cylinders, sh...
The structures of affine varieties of dimension greater than two can be explored with the help of fi...
We construct two non isomorphic contractible affine threefolds X and Y with isomorphic cylinders, sh...
We describe a method to construct hypersurfaces of the complex affine n-space with isomorphic C*-cyl...
International audienceWe address a variant of Zariski Cancellation Problem, asking whether two varie...
International audienceWe address a variant of Zariski Cancellation Problem, asking whether two varie...
International audienceWe describe a method to construct hypersurfaces of the complex affine $n$-spac...
International audienceWe describe a method to construct hypersurfaces of the complex affine $n$-spac...
AbstractLet X be a normal affine T-variety, where T stands for the algebraic torus. We classify Ga-a...
Let K be an arbitrary field of characteristic 0, and An the n-dimensional affine space over K. A wel...
This thesis consists of two papers and a summary. The papers both deal with affine algebra...
This thesis consists of two papers and a summary. The papers both deal with affine algebra...
Abstract. A well-known cancellation problem of Zariski asks when, for two given domains (fields) K1 ...
The affine cancellation problem, which asks whether complex affine varieties with isomorphic cylinde...
A new class of counterexamples to a generalized cancellation problem for a ¢ ne varieties is present...
We construct two non isomorphic contractible affine threefolds X and Y with isomorphic cylinders, sh...
The structures of affine varieties of dimension greater than two can be explored with the help of fi...
We construct two non isomorphic contractible affine threefolds X and Y with isomorphic cylinders, sh...
We describe a method to construct hypersurfaces of the complex affine n-space with isomorphic C*-cyl...
International audienceWe address a variant of Zariski Cancellation Problem, asking whether two varie...
International audienceWe address a variant of Zariski Cancellation Problem, asking whether two varie...
International audienceWe describe a method to construct hypersurfaces of the complex affine $n$-spac...
International audienceWe describe a method to construct hypersurfaces of the complex affine $n$-spac...
AbstractLet X be a normal affine T-variety, where T stands for the algebraic torus. We classify Ga-a...
Let K be an arbitrary field of characteristic 0, and An the n-dimensional affine space over K. A wel...
This thesis consists of two papers and a summary. The papers both deal with affine algebra...
This thesis consists of two papers and a summary. The papers both deal with affine algebra...
Abstract. A well-known cancellation problem of Zariski asks when, for two given domains (fields) K1 ...