Electronic Resource
Springer
Compositio mathematica
105 (1997), S. 237-265
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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