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Degenerations of rationally connected varieties and PAC fields

Jason Michael Starr
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Abstract

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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Jason Michael Starr. 2006-02-28. Degenerations of rationally connected varieties and PAC fields. https://arxiv.org/abs/math/0602649

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