HOMOGENEOUS SPACE FIBRATIONS OVER SURFACES
2017 ◽
Vol 18
(2)
◽
pp. 293-327
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Keyword(s):
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.
Keyword(s):
1959 ◽
Vol 14
◽
pp. 223-234
◽
Keyword(s):
Keyword(s):
2014 ◽
Vol 10
(08)
◽
pp. 2187-2204
2000 ◽
Vol 62
(3)
◽
pp. 493-509
◽