The theory of Weierstrass points and gap sequences for linear series on smooth curves is generalized to smooth families of curves with geometrically irreducible fibers, and over an arbitrary base scheme.
John HubbardDepartment of Mathematics Mallott Hall, Cornell UniversityPeter PapadopolDepartment of Mathematics Mallott Hall, Cornell Universityvladimir VeselovDepartment of Mathematics Mallott Hall, Cornell University