Conductor-Discriminant Inequality for Tamely Ramified Cyclic Covers I

Andrew Obus, Padmavathi Srinivasan, Connor Stewart

We prove conductor-discriminant inequalities for all $\mathbb{Z}/n$-covers of ${\mathbb{P}}^1$ defined over discretely valued fields $K$ with excellent valuation ring ${\mathcal{O}}_K$…