Rationality of Fano threefolds of degree 18 over nonclosed fields

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arxiv 1910.13816 v1 pith:24LDYUO6 submitted 2019-10-30 math.AG

Brendan Hassett , Yuri Tschinkel This is my paper · ORCID

classification math.AG

keywords degreefanofieldsnonclosedrationalitythreefoldsunirationality

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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
math.AG 2025-07 conditional novelty 7.0 of 10

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.