Abundance conjecture for varieties of Kodaira dimension minus infinity

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Let YY be a smooth projective variety. A variety is uniruled if through a general point of YY there passes a rational curve. Abundance conjecture. If κ(Y)=−∞\kappa(Y)=-\infty, then YY is uniruled. This is the second standard conjecture recalled in the source as part of the minimal model program and abundance framework.

References

Primary source

Stefan Kebekus and Sandor Kovacs, “Families of varieties of general type over compact bases”, arXiv:0704.2556 (2007).

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