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;Occhetta, Gianluca
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).File in questo prodotto:
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