On the generic hyperplane section of curves in positive characteristic
Let \(C\) be a curve in the projective \(n\)-space over an algebraically closed field of positive characteristic, having the property that every secant line to \(C\) is at least a trisecant line (this cannot happen in characteristic zero). The authors prove results on the postulation and the index of regularity of a generic hyperplane section \(S\) of \(C\). They also prove that certain natural groups cannot be isomorphic to the monodromy groups for the family of hyperplane sections of \(C\).
scientific article; zbMATH DE number 810237
scientific article