5. The moduli space of rational curves of hypersurfaces
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Problem 5.1.
In char. p if n\geq d+2, are the moduli spaces of rational curves on a general hypersurface of degree d in \mathbb{P}^{n} irreducible of the expected dimension? -
Problem 5.2.
What is the dimension of rational curves in hypersurfaces of degree d in \mathbb{P}^{n} in char. p? Does char. 0 proof go through?
Cite this as: AimPL: Rational subvarieties in positive characteristic, available at http://aimpl.org/ratsubvarpos.