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- W2913441505 abstract "We study (smooth, complex) Fano 4-folds X having a rational contraction of fiber type, that is, a rational map X-->Y that factors as a sequence of flips followed by a contraction of fiber type. The existence of such a map is equivalent to the existence of a non-zero, non-big movable divisor on X. Our main result is that if Y is not P^1 or P^2, then the Picard number rho(X) of X is at most 18, with equality only if X is a product of surfaces. We also show that if a Fano 4-fold X has a dominant rational map X-->Z, regular and proper on an open subset of X, with dim(Z)=3, then either X is a product of surfaces, or rho(X) is at most 12. These results are part of a program to study Fano 4-folds with large Picard number via birational geometry." @default.
- W2913441505 created "2019-02-21" @default.
- W2913441505 creator A5091615738 @default.
- W2913441505 date "2020-06-01" @default.
- W2913441505 modified "2023-09-26" @default.
- W2913441505 title "Fano 4-folds with rational fibrations" @default.
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- W2913441505 doi "https://doi.org/10.2140/ant.2020.14.809" @default.
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