Halphen pencils on weighted Fano threefold hypersurfaces |
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| Authors: | Ivan Cheltsov Jihun Park |
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| Institution: | (1) School of Mathematics, The University of Edinburgh, Edinburgh, UK;(2) Department of Mathematics, POSTECH, Pohang, Korea |
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| Abstract: | On a general quasismooth well-formed weighted hypersurface of degree Σ
i=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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| Keywords: | Fano threefolds Weighted hypersurfaces K3 surfaces Halphen pencils Birational automorphisms |
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