| In this thesis, we discuss the following problem:;Let X be an FT (Fano type) variety, and P 1,...,Pr ∈ X be finitely many points (possibly singular). Is there a geometrically free rational curve f : P1 → X over P1,..., Pr?;The answer is 'yes' when X is a projective toric variety over C . As a corollary, we shall prove that the smooth loci of projective toric varieties over C is strongly rationally connected. |
