Mathematics – Algebraic Geometry
Scientific paper
2005-04-04
Mathematics
Algebraic Geometry
13 pages
Scientific paper
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.
Bonavero Laurent
Casagrande Cinzia
Druel Stéphane
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