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.
@article{bwmeta1.element.doi-10_2478_s11533-008-0056-2,
author = {Ivan Cheltsov and Jihun Park},
title = {Halphen pencils on weighted Fano threefold hypersurfaces},
journal = {Open Mathematics},
volume = {7},
year = {2009},
pages = {1-45},
zbl = {1183.14022},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-008-0056-2}
}
Ivan Cheltsov; Jihun Park. Halphen pencils on weighted Fano threefold hypersurfaces. Open Mathematics, Tome 7 (2009) pp. 1-45. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-008-0056-2/
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