Let X be a smooth complex projective variety and let H be an ample line bundle. Assume that X is covered by rational curves with degree one with respect to H and with anticanonical degree greater than or equal to (dim X -1)/2. We prove that there is a covering family of such curves whose numerical class spans an extremal ray in the cone of curves NE(X).
Manifolds covered by lines and extremal rays
NOVELLI, CARLA;
2012-01-01
Abstract
Let X be a smooth complex projective variety and let H be an ample line bundle. Assume that X is covered by rational curves with degree one with respect to H and with anticanonical degree greater than or equal to (dim X -1)/2. We prove that there is a covering family of such curves whose numerical class spans an extremal ray in the cone of curves NE(X).
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0805.2069-NO4-Lines.pdf
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13 - 2012 - NO4 - Mfds Covered by Lines and Extremal Rays.pdf
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