5 papers
Wild Stacky Curves and Rings of Mod p Modular Forms
Andrew Kobin, David Zureick-Brown
We extend work of Voight and the second author to compute the log canonical ring of a wild stacky curve over a field of characteristic , which allows us to compute rings of…
The integral Hasse principle for stacky curves associated to a family of generalized Fermat equations
Juanita Duque-Rosero, Christopher Keyes, Andrew Kobin +3
We characterize the integral Hasse principle for an infinite family of spherical stacky curves with genus that are defined using generalized Fermat equations, extend…
Arithmetic Functions and Geometry
Andrew Kobin
In this expository note, we revisit several classical arithmetic functions - namely Euler's totient function, the divisor sum functions and Dedekind's -function - within a unify…
Categorifying quadratic zeta functions
Jon Aycock, Andrew Kobin
The Dedekind zeta function of a quadratic number field factors as a product of the Riemann zeta function and the -function of a quadratic Dirichlet character. We categorify this…
Artin-Schreier Root Stacks
Andrew Kobin
We classify stacky curves in characteristic with cyclic stabilizers of order using higher ramification data. This approach replaces the local root stack structure of a…