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- W2986514851 abstract "Abstract We find a characterization for Fano 4-folds $X$ with Lefschetz defect $delta _{X}=3$: besides the product of two del Pezzo surfaces, they correspond to varieties admitting a conic bundle structure $fcolon Xto Y$ with $rho _{X}-rho _{Y}=3$. Moreover, we observe that all of these varieties are rational. We give the list of all possible targets of such contractions. Combining our results with the classification of toric Fano $4$-folds due to Batyrev and Sato we provide explicit examples of Fano conic bundles from toric $4$-folds with $delta _{X}=3$." @default.
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- W2986514851 date "2019-11-11" @default.
- W2986514851 modified "2023-09-23" @default.
- W2986514851 title "A Characterization of Some Fano 4-folds Through Conic Fibrations" @default.
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- W2986514851 doi "https://doi.org/10.1093/imrn/rnz244" @default.
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