Artin-Schreier Root Stacks

14 Aug 2020 Kobin Andrew

We classify stacky curves in characteristic $p > 0$ with cyclic stabilizers of order $p$ using higher ramification data. This approach replaces the local root stack structure of a tame stacky curve, similar to the local structure of a complex orbifold curve, with a more sensitive structure called an Artin-Schreier root stack, allowing us to incorporate this ramification data directly into the stack... (read more)

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Categories


  • ALGEBRAIC GEOMETRY
  • NUMBER THEORY