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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…
math.AG2019★ 10 cited
Degree of irrationality of very general abelian surfaces
Nathan Chen
The degree of irrationality of a projective variety is defined to be the smallest degree rational dominant map to a projective space of the same dimension. For abelian surfaces…