Degenerations of rationally connected varieties

Hogadi, Amit; Xu, Chenyang

doi:10.1090/S0002-9947-09-04715-1

Degenerations of rationally connected varieties
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by Amit Hogadi and Chenyang Xu PDF

Trans. Amer. Math. Soc. 361 (2009), 3931-3949 Request permission

Abstract:

We prove that a degeneration of rationally connected varieties over a field of characteristic zero always contains a geometrically irreducible subvariety which is rationally connected.

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