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We show that measures of irrationality on very general codimension twocomplete intersections and very general complete intersection surfaces aremultiplicative in the degrees of the defining equations. This confirms somecases of a conjecture of Bastianelli, De Poi, Ein, Lazarsfeld, and Ullery. Ourmethods involve studying the numerical invariants of curves on completeintersections.

Multiplicative bounds for measures of irrationality on complete intersections