Homogeneous Fibrations over Surfaces

Details Homogeneous Fibrations over Surfaces Homogeneous Fibrations over Surfaces

2011-11-12

arxiv.org/abs/1111.2963v1

Mathematics

Algebraic Geometry

29 pages. Comments are welcome

Scientific paper

We show that any complex projective homogeneous space is rationally simply
connected. As an application, we prove that any family of projective
homogeneous spaces over an algebraic surface admits a rational section if the
elementary obstruction vanishes.

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