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4 papers
Arithmetic inflection of superelliptic curves
Ethan Cotterill, Ignacio Darago, Cristhian Garay López +2
In this paper, we explore the inflectionary behavior of linear series on superelliptic curves over fields of arbitrary characteristic. Here we give a precise description of the…
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…
Stable log surfaces, admissible covers, and canonical curves of genus 4
Anand Deopurkar, Changho Han
We explicitly describe the KSBA/Hacking compactification of a moduli space of log surfaces of Picard rank 2. The space parametrizes log pairs where is a degeneration o…
Arithmetic of the moduli of semistable elliptic surfaces
Changho Han, Jun-Yong Park
We prove a new sharp asymptotic with the lower order term of zeroth order on for counting the semistable elliptic curves over $\mathbb{…