2024-03-28T08:54:56Z
https://repository.dl.itc.u-tokyo.ac.jp/oai
oai:repository.dl.itc.u-tokyo.ac.jp:00040124
2022-12-19T04:15:11Z
312:6865:6959:6965
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Classfication of elliptic and K3 fibrations birational to some Q-Fano 3 folds
Daniel, Ryder
138705
415
application/pdf
A complete classification is presented of elliptic and K3 fibrations birational to certain mildly singular complex Fano 3-folds. Detailed proofs are given for one example case, namely that of a general hypersurface $X$ of degree 30 in weighted $\PP^4$ with weights 1,4,5,6,15; but our methods apply more generally. For constructing birational maps from $X$ to elliptic and K3 fibrations we use Kawamata blowups and Mori theory to compute anticanonical rings; to exclude other possible fibrations we make a close examination of the strictly canonical singularities of $\XnH$, where $\HH$ is the linear system associated to the putative birational map and $n$ is its anticanonical degree.
departmental bulletin paper
Graduate School of Mathematical Sciences, The University of Tokyo
2006-03-21
application/pdf
Journal of mathematical sciences, the University of Tokyo
1
13
13
42
AA11021653
13405705
https://repository.dl.itc.u-tokyo.ac.jp/record/40124/files/jms130102.pdf
eng