Author

Connor Stewart

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Preprint Sep 2026

Conductor-Discriminant Inequality for Tamely Ramified Cyclic Covers II

Let $K$ be a Henselian discretely valued field with excellent ring of integers $\mathcal{O}_K$ and algebraically closed residue field $k$. Let $X\to\mathbb{P}^1_K$ be a cyclic cover of degree $n$ prime to the characteristic of $k$. In joint work with Obus and Srinivasan (arXiv:2609.20553), we define an integer called t...

Connor Stewart · 0 citations

Preprint Sep 2026

Conductor-Discriminant Inequality for Tamely Ramified Cyclic Covers I

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 $\mathcal{O}_K$ and perfect residue field of characteristic not dividing $n$, modulo some calculations appearing in work of the third author (arXiv:2609.20...

Andrew Obus, P. Srinivasan, Connor Stewart · 0 citations