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Fano Type Contraction


A Fano type contraction is a projective surjection f:X->Z of normal integral varieties with f_*O_X=O_Z, where X is of Fano type over Z. This means that an effective rational boundary C exists with (X,C) Kawamata log terminal and -(K_X+C) relatively ample. Its witnessing boundary can differ from a boundary specified in a theorem.


See also

Bounded Klt Complement Conjecture, Cartier Divisor, Fano Contraction, Kawamata Log Terminal Pair, Log Canonical Threshold, Log Discrepancy, Nef Divisor, Quasiprojective Variety

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References

Birkar, C. "Boundedness of Fano Type Fibrations." Ann. Sci. École Norm. Sup. 57, 787-840, 2024. https://doi.org/10.24033/asens.2582.

Cite this as:

Weisstein, Eric W. "Fano Type Contraction." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/FanoTypeContraction.html

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