Rational curves on blowing-ups of projective spaces

Details Rational curves on blowing-ups of projective spaces Rational curves on blowing-ups of projective spaces

2006-12-20

arxiv.org/abs/math/0612607v1

Mathematics

Algebraic Geometry

11 pages

Scientific paper

We prove the irredcibility (and the rational connectedness) of the moduli
spaces of (free) morphisms from a projective line to a successive blowing-up of
a product of projective spaces if a suitable numerical condition on morphisms
is provided (and also if all centers of the blowing-up are rationally
connected).

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