Multiplicative bounds for measures of irrationality on complete intersections

Abstract

We show that measures of irrationality on very general codimension two complete intersections and very general complete intersection surfaces are multiplicative in the degrees of the defining equations. This confirms some cases of a conjecture of Bastianelli, De Poi, Ein, Lazarsfeld, and Ullery. Our methods involve studying the numerical invariants of curves on complete intersections.

21 pages

References in corpus (2)

• Covering gonalities of complete intersections in positive characteristic
• On the degree of algebraic cycles on hypersurfaces