8 citations · 31 across the 20 of their papers we have counts for
3 papers · 1 filter
Arithmetic inflection formulae for linear series on hyperelliptic curves
Ethan Cotterill, Ignacio Darago, Changho Han
Over the complex numbers, Plücker's formula computes the number of inflection points of a linear series of projective dimension and degree on a curve of genus . Here we…
Severi dimensions for unicuspidal curves
Ethan Cotterill, Vinícius Lara Lima, Renato Vidal Martins
We study parameter spaces of linear series on projective curves in the presence of unibranch singularities, i.e. {\it cusps}; and to do so, we stratify cusps according to value sem…
Weight bounds for -hyperelliptic curves
Rafael Barbosa da Silva, Ethan Cotterill
{\it -hyperelliptic} semigroups were introduced by Fernando Torres to encapsulate the most salient properties of Weierstrass semigroups associated to totally-ramified points…