For smooth geometrically rational real Fano threefolds with nonempty real locus, the absence of any deformation-equivalent real form with disconnected real locus forces R-rationality.
Rationality of Fano threefolds of degree 18 over nonclosed fields
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We study unirationality and rationality of Fano threefolds of degree 18 over nonclosed fields.
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A rationality criterion for real Fano threefolds
For smooth geometrically rational real Fano threefolds with nonempty real locus, the absence of any deformation-equivalent real form with disconnected real locus forces R-rationality.