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  • Fano variety  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Fano threefolds in positive characteristic (1997)
    Springer
    Compositio mathematica 105 (1997), S. 237-265 
    Details
    ISSN: 1570-5846
    Keywords: Fano variety ; projection ; flop ; extermal rays ; monodromy.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We show that the birational classification in positive characteristicof smooth Fano threefolds X with Picard number 1 is the same as incharacteristic zero. In particular, there are no exotic such Fanos; asa consequence of the classification, X is shown to be liftable withoutramification to characteristic zero and to contain a line. The maintechniques employed are those of Ekedahl and of Mori and Takeuchi.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1000158618674
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