Ole Ossen

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20232025

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math.NT2025

Semistable reduction of plane quartics at $p = 3$

Ole Ossen

We explain how to compute the semistable reduction of plane quartic curves over local fields of residue characteristic $p = 3$ . Our approach is based on finding suitable degree- $3$ c…

math.NT2024

Semistable reduction of covers of degree $p$

Ole Ossen

Let $K$ be a local field of residue characteristic $p > 0$ . We explain how to compute the semistable reduction of $K$ -curves $Y$ equipped with a degree- $p$ morphism from $Y$ to the p…

math.NT2023

Computing the semistable reduction of a particular plane quartic curve at $p = 3$

Ole Ossen

We explain how to determine the semistable reduction of a particular plane quartic curve at $p = 3$ that appears in the attempts of Rouse, Sutherland, and Zureick-Brown to compute th…

Semistable reduction of plane quartics at p=3

Semistable reduction of covers of degree p

Computing the semistable reduction of a particular plane quartic curve at p=3

Semistable reduction of plane quartics at $p = 3$

Semistable reduction of covers of degree $p$

Computing the semistable reduction of a particular plane quartic curve at $p = 3$