Degenerations of rationally connected varieties and PAC fields

Details Degenerations of rationally connected varieties and PAC fields Degenerations of rationally connected varieties and PAC fields

2006-02-28

arxiv.org/abs/math/0602649v1

Mathematics

Algebraic Geometry

5 pages

Scientific paper

A perfect PAC field containing an algebraically closed field is known to be
$C_1$, i.e., every degeneration of a Fano complete intersection has a point. We
prove that also every degeneration of a separably rationally connected variety
has a point.

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