An algebraic proof of a cancellation theorem for surfaces

Let $\K$ be an algebraically closed field of arbitrary characteristic. We give a short self-contained algebraic proof of the following statement: If the cylinder over an affine surface (i. e. the product of our surface and an affine line) over $\K$ is (isomorphic to) an affine space then the surface...

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Detalles Bibliográficos
Autores principales: Crachiola, A, Makar-Limanov, L
Lenguaje:eng
Publicado: 2005
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/905059
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author Crachiola, A
Makar-Limanov, L
author_facet Crachiola, A
Makar-Limanov, L
author_sort Crachiola, A
collection CERN
description Let $\K$ be an algebraically closed field of arbitrary characteristic. We give a short self-contained algebraic proof of the following statement: If the cylinder over an affine surface (i. e. the product of our surface and an affine line) over $\K$ is (isomorphic to) an affine space then the surface is (isomorphic to) an affine plane.
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institution Organización Europea para la Investigación Nuclear
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publishDate 2005
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spelling cern-9050592019-09-30T06:29:59Zhttp://cds.cern.ch/record/905059engCrachiola, AMakar-Limanov, LAn algebraic proof of a cancellation theorem for surfacesMathematical Physics and MathematicsLet $\K$ be an algebraically closed field of arbitrary characteristic. We give a short self-contained algebraic proof of the following statement: If the cylinder over an affine surface (i. e. the product of our surface and an affine line) over $\K$ is (isomorphic to) an affine space then the surface is (isomorphic to) an affine plane.IHES-M-2005-29oai:cds.cern.ch:9050592005
spellingShingle Mathematical Physics and Mathematics
Crachiola, A
Makar-Limanov, L
An algebraic proof of a cancellation theorem for surfaces
title An algebraic proof of a cancellation theorem for surfaces
title_full An algebraic proof of a cancellation theorem for surfaces
title_fullStr An algebraic proof of a cancellation theorem for surfaces
title_full_unstemmed An algebraic proof of a cancellation theorem for surfaces
title_short An algebraic proof of a cancellation theorem for surfaces
title_sort algebraic proof of a cancellation theorem for surfaces
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/905059
work_keys_str_mv AT crachiolaa analgebraicproofofacancellationtheoremforsurfaces
AT makarlimanovl analgebraicproofofacancellationtheoremforsurfaces
AT crachiolaa algebraicproofofacancellationtheoremforsurfaces
AT makarlimanovl algebraicproofofacancellationtheoremforsurfaces

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