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Examples
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They were named after Oscar Zariski who used them in 1958 to give examples of unirational surfaces in characteristic p 0 that are not rational.
Archive 2007-01-01 Cliff Pickover 2007
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They were named after Oscar Zariski who used them in 1958 to give examples of unirational surfaces in characteristic p 0 that are not rational.
Zariski surface Cliff Pickover 2007
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In particular, all Zariski surfaces are unirational.
Zariski surface Cliff Pickover 2007
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In characteristic 0 by contrast, Castelnuovo's theorem implies that all unirational surfaces are rational.
Archive 2007-01-01 Cliff Pickover 2007
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In particular, all Zariski surfaces are unirational.
Archive 2007-01-01 Cliff Pickover 2007
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In characteristic 0 by contrast, Castelnuovo's theorem implies that all unirational surfaces are rational.
Zariski surface Cliff Pickover 2007
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