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Anticanonical Bundle


The anticanonical bundle of a smooth variety or complex manifold X is the dual K_X^(-1) of its canonical bundle K_X. Its divisor class is the negative of the canonical class. A smooth projective variety whose anticanonical bundle is ample is called a Fano variety.


See also

Canonical Bundle, Divisor, Line Bundle, Vector Bundle

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References

Hartshorne, R. Algebraic Geometry. New York: Springer-Verlag, 1977.

Cite this as:

Weisstein, Eric W. "Anticanonical Bundle." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/AnticanonicalBundle.html

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