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arXiv · 1111.2963

Homogeneous Fibrations over Curves

Yi Zhu
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Abstract

By studying the theory of rational curves, we introduce a notion of rational simple connectedness for projective homogeneous spaces. As an application, we prove that over a function field of an algebraic surface, a projective homogeneous space admits a rational point if the elementary obstruction vanishes.

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Yi Zhu. 2011-11-12. Homogeneous Fibrations over Curves. https://arxiv.org/abs/1111.2963

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