Arithmetic inflection formulae for linear series on hyperelliptic curves
Abstract
Over the complex numbers, Pl\"ucker's formula computes the number of inflection points of a linear series of projective dimension r and degree d on a curve of genus g. Here we explore the geometric meaning of a natural analogue of Pl\"ucker's formula in A1-homotopy theory for certain linear series on hyperelliptic curves defined over an arbitrary field.
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