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Covering gonalities of complete intersections in positive characteristic

Covering gonalities of complete intersections in positive characteristic

We define the covering gonality and separable covering gonality of varieties over arbitrary fields, generalizing the definition given by Bastianelli-de Poi-Ein-Lazarsfeld-Ullery for complex varieties.We show that over an arbitrary field a smooth multidegree (d 1 , . . ., d k ) complete intersection in P N has separable covering …