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On birational properties of smooth codimension two determinantal varieties

On birational properties of smooth codimension two determinantal varieties

We show that a smooth arithmetically Cohen-Macaulay variety X, of codimension 2 in ‫ސ‬ n if 3 ≤ n ≤ 5 and general if n > 3, admits a morphism onto a hypersurface of degree (n + 1) in ‫ސ‬ n-1 with, at worst, double points; moreover, this morphism comes …