Arithmetic inflection formulae for linear series on hyperelliptic curves
Algebraic Geometry
2026-02-24 v2 Algebraic Topology
Number Theory
Abstract
Over the complex numbers, Pl\"ucker's formula computes the number of inflection points of a linear series of projective dimension and degree on a curve of genus . Here we explore the geometric meaning of a natural analogue of Pl\"ucker's formula in -homotopy theory for certain linear series on hyperelliptic curves defined over an arbitrary field.
Cite
@article{arxiv.2010.01714,
title = {Arithmetic inflection formulae for linear series on hyperelliptic curves},
author = {Ethan Cotterill and Ignacio Darago and Changho Han},
journal= {arXiv preprint arXiv:2010.01714},
year = {2026}
}
Comments
Final, enhanced version, to appear in Math. Nachrichten; 30 pages, 4 figures