Joe Harris, Jason Starr
Published 2002-07-27Version 1
This is a continuation of "Rational curves on hypersurfaces of low degree", math.AG/0203088. We prove that if d^2+d+1 < n and d > 2, then for a general hypersurface X_d in P^n of degree d, for each degree e the space of rational curves of degree e on X is itself a rationally connected variety.
Rational curves on hypersurfaces of low degree
Rational curves on smooth hypersurfaces of low degree
ACM bundles on general hypersurfaces in ${\bf P}^5$ of low degree
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