I’ve posted a new paper on the arXiv. A limit of rational varieties need not be rational, even if all varieties in the family are projective and have at most terminal singularities. This shows that a result of de Fernex and Fusi’s does not extend to higher dimensions.
Photo: Susie the cat in Westwood.
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Dear Burt,
Today I see that Kontsevich–Tschinkel proved that rationality does specialise among smooth varieties:
https://arxiv.org/abs/1708.05699
Best wishes,
Artie