On covering and quasi-unsplit families of rational curves
classification
🧮 math.AG
keywords
coveringcurvesrationalfamiliesprojectivequasi-unsplitconedimension
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We study extremality properties of covering families of rational curves on projective varieties. Among others, we show that on a normal and Q-factorial projective variety of dimension at most 4, every covering and quasi-unsplit family of rational curves generates a geometric extremal ray of the Mori cone.
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