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HOMOGENEOUS SPACE FIBRATIONS OVER SURFACES
Published online by Cambridge University Press: 03 April 2017
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 over an algebraically closed field, a variety whose geometric generic fiber is a projective homogeneous space admits a rational point if and only if the elementary obstruction vanishes.
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- Research Article
- Information
- Journal of the Institute of Mathematics of Jussieu , Volume 18 , Issue 2 , March 2019 , pp. 293 - 327
- Copyright
- © Cambridge University Press 2017
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