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math.AG2019
Maximal Chow constant and cohomologically constant fibrations
Kristin DeVleming, David Stapleton
Motivated by the study of rationally connected fibrations (and the MRC quotient) we study different notions of birationally simple fibrations. We say a fibration of smooth projecti…
math.AG2019★ 8 cited
Fano hypersurfaces with arbitrarily large degrees of irrationality
Nathan Chen, David Stapleton
We show that complex Fano hypersurfaces can have arbitrarily large degrees of irrationality. More precisely, if we fix a Fano index e, then the degree of irrationality of a very ge…