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- W3036006423 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 nonzero, nonbig movable divisor on X. Our main result is that if Y is not ℙ1 or ℙ2, then the Picard number ρX 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 ρX is at most 12. These results are part of a program to study Fano 4-folds with large Picard number via birational geometry." @default.
- W3036006423 created "2020-06-25" @default.
- W3036006423 creator A5091615738 @default.
- W3036006423 date "2020-06-01" @default.
- W3036006423 modified "2023-09-26" @default.
- W3036006423 title "Fano 4-folds with rational fibrations" @default.
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- W3036006423 doi "https://doi.org/10.2140/ant.2020.14.787" @default.
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