scholarly journals Halphen pencils on weighted Fano threefold hypersurfaces

2009 ◽  
Vol 7 (1) ◽  
pp. 1-45 ◽  
Author(s):  
Ivan Cheltsov ◽  
Jihun Park

AbstractOn a general quasismooth well-formed weighted hypersurface of degree Σi=14 a i in ℙ(1, a 1, a 2, a 3, a 4), we classify all pencils whose general members are surfaces of Kodaira dimension zero.

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