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Halphen pencils on weighted Fano threefold hypersurfaces

Ivan Cheltsov, Jihun Park (2009)

Open Mathematics

On 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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