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arxiv: math/0602649 · v1 · submitted 2006-02-28 · 🧮 math.AG

Degenerations of rationally connected varieties and PAC fields

classification 🧮 math.AG
keywords connecteddegenerationeveryfieldpointrationallyalgebraicallyclosed
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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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